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Finding the Third Proportional to 9,691,782 and 15,205,638

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Solution

The third proportional to 9,691,782 and 15,205,638 is: 23,856,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,782 : 15,205,638 = 15,205,638 : x
  2. Step 2: Convert to fraction form
    9,691,782/15,205,638 = 15,205,638/x
  3. Step 3: Cross multiply
    9,691,782x = 15,205,638 × 15,205,638
  4. Step 4: Simplify right side
    9,691,782x = 231,211,426,987,044
  5. Step 5: Solve for x
    x = 231,211,426,987,044/9,691,782
  6. Step 6: Final answer
    x = 23,856,441.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.