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Finding the Third Proportional to 37,735,878 and 80,853,414

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Solution

The third proportional to 37,735,878 and 80,853,414 is: 173,237,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,878 : 80,853,414 = 80,853,414 : x
  2. Step 2: Convert to fraction form
    37,735,878/80,853,414 = 80,853,414/x
  3. Step 3: Cross multiply
    37,735,878x = 80,853,414 × 80,853,414
  4. Step 4: Simplify right side
    37,735,878x = 6,537,274,555,455,396
  5. Step 5: Solve for x
    x = 6,537,274,555,455,396/37,735,878
  6. Step 6: Final answer
    x = 173,237,642.85

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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.