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Finding the Third Proportional to 73,944,902 and 159,581,506

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Solution

The third proportional to 73,944,902 and 159,581,506 is: 344,395,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,944,902 : 159,581,506 = 159,581,506 : x
  2. Step 2: Convert to fraction form
    73,944,902/159,581,506 = 159,581,506/x
  3. Step 3: Cross multiply
    73,944,902x = 159,581,506 × 159,581,506
  4. Step 4: Simplify right side
    73,944,902x = 25,466,257,057,228,036
  5. Step 5: Solve for x
    x = 25,466,257,057,228,036/73,944,902
  6. Step 6: Final answer
    x = 344,395,034.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.