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Finding the Third Proportional to 6,247,464 and 9,437,760

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Solution

The third proportional to 6,247,464 and 9,437,760 is: 14,257,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247,464 : 9,437,760 = 9,437,760 : x
  2. Step 2: Convert to fraction form
    6,247,464/9,437,760 = 9,437,760/x
  3. Step 3: Cross multiply
    6,247,464x = 9,437,760 × 9,437,760
  4. Step 4: Simplify right side
    6,247,464x = 89,071,313,817,600
  5. Step 5: Solve for x
    x = 89,071,313,817,600/6,247,464
  6. Step 6: Final answer
    x = 14,257,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.