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Finding the Third Proportional to 10,789,499 and 23,114,151

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Solution

The third proportional to 10,789,499 and 23,114,151 is: 49,517,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789,499 : 23,114,151 = 23,114,151 : x
  2. Step 2: Convert to fraction form
    10,789,499/23,114,151 = 23,114,151/x
  3. Step 3: Cross multiply
    10,789,499x = 23,114,151 × 23,114,151
  4. Step 4: Simplify right side
    10,789,499x = 534,263,976,450,801
  5. Step 5: Solve for x
    x = 534,263,976,450,801/10,789,499
  6. Step 6: Final answer
    x = 49,517,032.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.