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Finding the Third Proportional to 6,312,476 and 9,232,464

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Solution

The third proportional to 6,312,476 and 9,232,464 is: 13,503,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312,476 : 9,232,464 = 9,232,464 : x
  2. Step 2: Convert to fraction form
    6,312,476/9,232,464 = 9,232,464/x
  3. Step 3: Cross multiply
    6,312,476x = 9,232,464 × 9,232,464
  4. Step 4: Simplify right side
    6,312,476x = 85,238,391,511,296
  5. Step 5: Solve for x
    x = 85,238,391,511,296/6,312,476
  6. Step 6: Final answer
    x = 13,503,162.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.