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Finding the Third Proportional to 6,417,472 and 9,627,585

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Solution

The third proportional to 6,417,472 and 9,627,585 is: 14,443,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417,472 : 9,627,585 = 9,627,585 : x
  2. Step 2: Convert to fraction form
    6,417,472/9,627,585 = 9,627,585/x
  3. Step 3: Cross multiply
    6,417,472x = 9,627,585 × 9,627,585
  4. Step 4: Simplify right side
    6,417,472x = 92,690,392,932,225
  5. Step 5: Solve for x
    x = 92,690,392,932,225/6,417,472
  6. Step 6: Final answer
    x = 14,443,443.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.