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Finding the Third Proportional to 47,233,386 and 77,127,867

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Solution

The third proportional to 47,233,386 and 77,127,867 is: 125,942,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233,386 : 77,127,867 = 77,127,867 : x
  2. Step 2: Convert to fraction form
    47,233,386/77,127,867 = 77,127,867/x
  3. Step 3: Cross multiply
    47,233,386x = 77,127,867 × 77,127,867
  4. Step 4: Simplify right side
    47,233,386x = 5,948,707,867,969,689
  5. Step 5: Solve for x
    x = 5,948,707,867,969,689/47,233,386
  6. Step 6: Final answer
    x = 125,942,863.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.