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Finding the Third Proportional to 31,403,432 and 47,403,708

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Solution

The third proportional to 31,403,432 and 47,403,708 is: 71,556,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403,432 : 47,403,708 = 47,403,708 : x
  2. Step 2: Convert to fraction form
    31,403,432/47,403,708 = 47,403,708/x
  3. Step 3: Cross multiply
    31,403,432x = 47,403,708 × 47,403,708
  4. Step 4: Simplify right side
    31,403,432x = 2,247,111,532,149,264
  5. Step 5: Solve for x
    x = 2,247,111,532,149,264/31,403,432
  6. Step 6: Final answer
    x = 71,556,240.48

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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.