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Finding the Third Proportional to 37,735,896 and 80,853,448

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Solution

The third proportional to 37,735,896 and 80,853,448 is: 173,237,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,896 : 80,853,448 = 80,853,448 : x
  2. Step 2: Convert to fraction form
    37,735,896/80,853,448 = 80,853,448/x
  3. Step 3: Cross multiply
    37,735,896x = 80,853,448 × 80,853,448
  4. Step 4: Simplify right side
    37,735,896x = 6,537,280,053,488,704
  5. Step 5: Solve for x
    x = 6,537,280,053,488,704/37,735,896
  6. Step 6: Final answer
    x = 173,237,705.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.