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Finding the Third Proportional to 4,723,181,595,015.80 and 7,053,821,798,892.80

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Solution

The third proportional to 4,723,181,595,015.80 and 7,053,821,798,892.80 is: 10,534,509,624,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,181,595,015.80 : 7,053,821,798,892.80 = 7,053,821,798,892.80 : x
  2. Step 2: Convert to fraction form
    4,723,181,595,015.80/7,053,821,798,892.80 = 7,053,821,798,892.80/x
  3. Step 3: Cross multiply
    4,723,181,595,015.80x = 7,053,821,798,892.80 × 7,053,821,798,892.80
  4. Step 4: Simplify right side
    4,723,181,595,015.80x = 49,756,401,970,535,252,560,445,440
  5. Step 5: Solve for x
    x = 49,756,401,970,535,252,560,445,440/4,723,181,595,015.80
  6. Step 6: Final answer
    x = 10,534,509,624,411.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.