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Finding the Third Proportional to 6,841,469.25 and 9,215,002.13

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Solution

The third proportional to 6,841,469.25 and 9,215,002.13 is: 12,411,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,469.25 : 9,215,002.13 = 9,215,002.13 : x
  2. Step 2: Convert to fraction form
    6,841,469.25/9,215,002.13 = 9,215,002.13/x
  3. Step 3: Cross multiply
    6,841,469.25x = 9,215,002.13 × 9,215,002.13
  4. Step 4: Simplify right side
    6,841,469.25x = 84,916,264,163,754.52
  5. Step 5: Solve for x
    x = 84,916,264,163,754.52/6,841,469.25
  6. Step 6: Final answer
    x = 12,411,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.