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Finding the Third Proportional to 6,435,464 and 9,456,205

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Solution

The third proportional to 6,435,464 and 9,456,205 is: 13,894,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435,464 : 9,456,205 = 9,456,205 : x
  2. Step 2: Convert to fraction form
    6,435,464/9,456,205 = 9,456,205/x
  3. Step 3: Cross multiply
    6,435,464x = 9,456,205 × 9,456,205
  4. Step 4: Simplify right side
    6,435,464x = 89,419,813,002,025
  5. Step 5: Solve for x
    x = 89,419,813,002,025/6,435,464
  6. Step 6: Final answer
    x = 13,894,850.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.