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Finding the Third Proportional to 37,600,366 and 82,458,656

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Solution

The third proportional to 37,600,366 and 82,458,656 is: 180,834,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600,366 : 82,458,656 = 82,458,656 : x
  2. Step 2: Convert to fraction form
    37,600,366/82,458,656 = 82,458,656/x
  3. Step 3: Cross multiply
    37,600,366x = 82,458,656 × 82,458,656
  4. Step 4: Simplify right side
    37,600,366x = 6,799,429,949,326,336
  5. Step 5: Solve for x
    x = 6,799,429,949,326,336/37,600,366
  6. Step 6: Final answer
    x = 180,834,142.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.