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Finding the Third Proportional to 1,049,541,405 and 2,429,752,761

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Solution

The third proportional to 1,049,541,405 and 2,429,752,761 is: 5,625,026,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,541,405 : 2,429,752,761 = 2,429,752,761 : x
  2. Step 2: Convert to fraction form
    1,049,541,405/2,429,752,761 = 2,429,752,761/x
  3. Step 3: Cross multiply
    1,049,541,405x = 2,429,752,761 × 2,429,752,761
  4. Step 4: Simplify right side
    1,049,541,405x = 5,903,698,479,587,123,200
  5. Step 5: Solve for x
    x = 5,903,698,479,587,123,200/1,049,541,405
  6. Step 6: Final answer
    x = 5,625,026,751.17

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.