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Finding the Third Proportional to 10,687,476.38 and 22,888,311.38

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Solution

The third proportional to 10,687,476.38 and 22,888,311.38 is: 49,017,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687,476.38 : 22,888,311.38 = 22,888,311.38 : x
  2. Step 2: Convert to fraction form
    10,687,476.38/22,888,311.38 = 22,888,311.38/x
  3. Step 3: Cross multiply
    10,687,476.38x = 22,888,311.38 × 22,888,311.38
  4. Step 4: Simplify right side
    10,687,476.38x = 523,874,797,598,954.38
  5. Step 5: Solve for x
    x = 523,874,797,598,954.38/10,687,476.38
  6. Step 6: Final answer
    x = 49,017,633.28

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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.