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Finding the Third Proportional to 6,085,969 and 9,418,663

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Solution

The third proportional to 6,085,969 and 9,418,663 is: 14,576,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085,969 : 9,418,663 = 9,418,663 : x
  2. Step 2: Convert to fraction form
    6,085,969/9,418,663 = 9,418,663/x
  3. Step 3: Cross multiply
    6,085,969x = 9,418,663 × 9,418,663
  4. Step 4: Simplify right side
    6,085,969x = 88,711,212,707,569
  5. Step 5: Solve for x
    x = 88,711,212,707,569/6,085,969
  6. Step 6: Final answer
    x = 14,576,349.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.