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Finding the Third Proportional to 10,819,491,651 and 16,551,002,868.75

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Solution

The third proportional to 10,819,491,651 and 16,551,002,868.75 is: 25,318,721,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819,491,651 : 16,551,002,868.75 = 16,551,002,868.75 : x
  2. Step 2: Convert to fraction form
    10,819,491,651/16,551,002,868.75 = 16,551,002,868.75/x
  3. Step 3: Cross multiply
    10,819,491,651x = 16,551,002,868.75 × 16,551,002,868.75
  4. Step 4: Simplify right side
    10,819,491,651x = 273,935,695,961,370,722,304
  5. Step 5: Solve for x
    x = 273,935,695,961,370,722,304/10,819,491,651
  6. Step 6: Final answer
    x = 25,318,721,507.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.