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Finding the Third Proportional to 2,269,976,709 and 3,195,234,464

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Solution

The third proportional to 2,269,976,709 and 3,195,234,464 is: 4,497,633,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269,976,709 : 3,195,234,464 = 3,195,234,464 : x
  2. Step 2: Convert to fraction form
    2,269,976,709/3,195,234,464 = 3,195,234,464/x
  3. Step 3: Cross multiply
    2,269,976,709x = 3,195,234,464 × 3,195,234,464
  4. Step 4: Simplify right side
    2,269,976,709x = 10,209,523,279,933,366,272
  5. Step 5: Solve for x
    x = 10,209,523,279,933,366,272/2,269,976,709
  6. Step 6: Final answer
    x = 4,497,633,495.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.