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Finding the Third Proportional to 948,713,678,121 and 1,445,299,664,545

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Solution

The third proportional to 948,713,678,121 and 1,445,299,664,545 is: 2,201,814,065,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,713,678,121 : 1,445,299,664,545 = 1,445,299,664,545 : x
  2. Step 2: Convert to fraction form
    948,713,678,121/1,445,299,664,545 = 1,445,299,664,545/x
  3. Step 3: Cross multiply
    948,713,678,121x = 1,445,299,664,545 × 1,445,299,664,545
  4. Step 4: Simplify right side
    948,713,678,121x = 2,088,891,120,333,889,430,618,112
  5. Step 5: Solve for x
    x = 2,088,891,120,333,889,430,618,112/948,713,678,121
  6. Step 6: Final answer
    x = 2,201,814,065,199.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.