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Finding the Third Proportional to 31,343,076 and 47,487,836

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Solution

The third proportional to 31,343,076 and 47,487,836 is: 71,948,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343,076 : 47,487,836 = 47,487,836 : x
  2. Step 2: Convert to fraction form
    31,343,076/47,487,836 = 47,487,836/x
  3. Step 3: Cross multiply
    31,343,076x = 47,487,836 × 47,487,836
  4. Step 4: Simplify right side
    31,343,076x = 2,255,094,567,962,896
  5. Step 5: Solve for x
    x = 2,255,094,567,962,896/31,343,076
  6. Step 6: Final answer
    x = 71,948,731.77

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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.