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Finding the Third Proportional to 11,002,074 and 23,897,361

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Solution

The third proportional to 11,002,074 and 23,897,361 is: 51,906,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002,074 : 23,897,361 = 23,897,361 : x
  2. Step 2: Convert to fraction form
    11,002,074/23,897,361 = 23,897,361/x
  3. Step 3: Cross multiply
    11,002,074x = 23,897,361 × 23,897,361
  4. Step 4: Simplify right side
    11,002,074x = 571,083,862,764,321
  5. Step 5: Solve for x
    x = 571,083,862,764,321/11,002,074
  6. Step 6: Final answer
    x = 51,906,927.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.