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Finding the Third Proportional to 3,873,114,543,138.80 and 8,475,842,309,503.50

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Solution

The third proportional to 3,873,114,543,138.80 and 8,475,842,309,503.50 is: 18,548,354,833,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873,114,543,138.80 : 8,475,842,309,503.50 = 8,475,842,309,503.50 : x
  2. Step 2: Convert to fraction form
    3,873,114,543,138.80/8,475,842,309,503.50 = 8,475,842,309,503.50/x
  3. Step 3: Cross multiply
    3,873,114,543,138.80x = 8,475,842,309,503.50 × 8,475,842,309,503.50
  4. Step 4: Simplify right side
    3,873,114,543,138.80x = 71,839,902,855,569,622,677,061,632
  5. Step 5: Solve for x
    x = 71,839,902,855,569,622,677,061,632/3,873,114,543,138.80
  6. Step 6: Final answer
    x = 18,548,354,833,149.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.