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Finding the Third Proportional to 10,642,374 and 23,344,902

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Solution

The third proportional to 10,642,374 and 23,344,902 is: 51,208,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,374 : 23,344,902 = 23,344,902 : x
  2. Step 2: Convert to fraction form
    10,642,374/23,344,902 = 23,344,902/x
  3. Step 3: Cross multiply
    10,642,374x = 23,344,902 × 23,344,902
  4. Step 4: Simplify right side
    10,642,374x = 544,984,449,389,604
  5. Step 5: Solve for x
    x = 544,984,449,389,604/10,642,374
  6. Step 6: Final answer
    x = 51,208,917.24

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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.