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Finding the Third Proportional to 31,343,706 and 47,489,598

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Solution

The third proportional to 31,343,706 and 47,489,598 is: 71,952,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343,706 : 47,489,598 = 47,489,598 : x
  2. Step 2: Convert to fraction form
    31,343,706/47,489,598 = 47,489,598/x
  3. Step 3: Cross multiply
    31,343,706x = 47,489,598 × 47,489,598
  4. Step 4: Simplify right side
    31,343,706x = 2,255,261,918,201,604
  5. Step 5: Solve for x
    x = 2,255,261,918,201,604/31,343,706
  6. Step 6: Final answer
    x = 71,952,624.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.