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Finding the Third Proportional to 31,772,898 and 47,616,660

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Solution

The third proportional to 31,772,898 and 47,616,660 is: 71,361,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772,898 : 47,616,660 = 47,616,660 : x
  2. Step 2: Convert to fraction form
    31,772,898/47,616,660 = 47,616,660/x
  3. Step 3: Cross multiply
    31,772,898x = 47,616,660 × 47,616,660
  4. Step 4: Simplify right side
    31,772,898x = 2,267,346,309,555,600
  5. Step 5: Solve for x
    x = 2,267,346,309,555,600/31,772,898
  6. Step 6: Final answer
    x = 71,361,016.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.