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Finding the Third Proportional to 31,270,269 and 47,151,472.50

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Solution

The third proportional to 31,270,269 and 47,151,472.50 is: 71,098,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,270,269 : 47,151,472.50 = 47,151,472.50 : x
  2. Step 2: Convert to fraction form
    31,270,269/47,151,472.50 = 47,151,472.50/x
  3. Step 3: Cross multiply
    31,270,269x = 47,151,472.50 × 47,151,472.50
  4. Step 4: Simplify right side
    31,270,269x = 2,223,261,358,918,256.25
  5. Step 5: Solve for x
    x = 2,223,261,358,918,256.25/31,270,269
  6. Step 6: Final answer
    x = 71,098,248.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.