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Finding the Third Proportional to 31,344,722 and 47,490,326

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Solution

The third proportional to 31,344,722 and 47,490,326 is: 71,952,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344,722 : 47,490,326 = 47,490,326 : x
  2. Step 2: Convert to fraction form
    31,344,722/47,490,326 = 47,490,326/x
  3. Step 3: Cross multiply
    31,344,722x = 47,490,326 × 47,490,326
  4. Step 4: Simplify right side
    31,344,722x = 2,255,331,063,586,276
  5. Step 5: Solve for x
    x = 2,255,331,063,586,276/31,344,722
  6. Step 6: Final answer
    x = 71,952,498.53

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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.