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Finding the Third Proportional to 6,516,759 and 8,569,551

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Solution

The third proportional to 6,516,759 and 8,569,551 is: 11,268,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516,759 : 8,569,551 = 8,569,551 : x
  2. Step 2: Convert to fraction form
    6,516,759/8,569,551 = 8,569,551/x
  3. Step 3: Cross multiply
    6,516,759x = 8,569,551 × 8,569,551
  4. Step 4: Simplify right side
    6,516,759x = 73,437,204,341,601
  5. Step 5: Solve for x
    x = 73,437,204,341,601/6,516,759
  6. Step 6: Final answer
    x = 11,268,976.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.