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Finding the Third Proportional to 37,056,142 and 80,491,352

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Solution

The third proportional to 37,056,142 and 80,491,352 is: 174,838,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,142 : 80,491,352 = 80,491,352 : x
  2. Step 2: Convert to fraction form
    37,056,142/80,491,352 = 80,491,352/x
  3. Step 3: Cross multiply
    37,056,142x = 80,491,352 × 80,491,352
  4. Step 4: Simplify right side
    37,056,142x = 6,478,857,746,787,904
  5. Step 5: Solve for x
    x = 6,478,857,746,787,904/37,056,142
  6. Step 6: Final answer
    x = 174,838,971.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.