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Finding the Third Proportional to 47,233,398 and 77,127,885

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Solution

The third proportional to 47,233,398 and 77,127,885 is: 125,942,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233,398 : 77,127,885 = 77,127,885 : x
  2. Step 2: Convert to fraction form
    47,233,398/77,127,885 = 77,127,885/x
  3. Step 3: Cross multiply
    47,233,398x = 77,127,885 × 77,127,885
  4. Step 4: Simplify right side
    47,233,398x = 5,948,710,644,573,225
  5. Step 5: Solve for x
    x = 5,948,710,644,573,225/47,233,398
  6. Step 6: Final answer
    x = 125,942,889.91

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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.