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Finding the Third Proportional to 31,566,022 and 73,752,498

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Solution

The third proportional to 31,566,022 and 73,752,498 is: 172,319,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,022 : 73,752,498 = 73,752,498 : x
  2. Step 2: Convert to fraction form
    31,566,022/73,752,498 = 73,752,498/x
  3. Step 3: Cross multiply
    31,566,022x = 73,752,498 × 73,752,498
  4. Step 4: Simplify right side
    31,566,022x = 5,439,430,961,240,004
  5. Step 5: Solve for x
    x = 5,439,430,961,240,004/31,566,022
  6. Step 6: Final answer
    x = 172,319,177.92

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.