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Finding the Third Proportional to 6,164,718 and 13,306,781

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Solution

The third proportional to 6,164,718 and 13,306,781 is: 28,723,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,718 : 13,306,781 = 13,306,781 : x
  2. Step 2: Convert to fraction form
    6,164,718/13,306,781 = 13,306,781/x
  3. Step 3: Cross multiply
    6,164,718x = 13,306,781 × 13,306,781
  4. Step 4: Simplify right side
    6,164,718x = 177,070,420,581,961
  5. Step 5: Solve for x
    x = 177,070,420,581,961/6,164,718
  6. Step 6: Final answer
    x = 28,723,198.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.