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Finding the Third Proportional to 31,343,680 and 47,489,559

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Solution

The third proportional to 31,343,680 and 47,489,559 is: 71,952,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343,680 : 47,489,559 = 47,489,559 : x
  2. Step 2: Convert to fraction form
    31,343,680/47,489,559 = 47,489,559/x
  3. Step 3: Cross multiply
    31,343,680x = 47,489,559 × 47,489,559
  4. Step 4: Simplify right side
    31,343,680x = 2,255,258,214,014,481
  5. Step 5: Solve for x
    x = 2,255,258,214,014,481/31,343,680
  6. Step 6: Final answer
    x = 71,952,566.32

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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.