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Finding the Third Proportional to 748,769,670 and 1,669,612,338

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Solution

The third proportional to 748,769,670 and 1,669,612,338 is: 3,722,914,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,769,670 : 1,669,612,338 = 1,669,612,338 : x
  2. Step 2: Convert to fraction form
    748,769,670/1,669,612,338 = 1,669,612,338/x
  3. Step 3: Cross multiply
    748,769,670x = 1,669,612,338 × 1,669,612,338
  4. Step 4: Simplify right side
    748,769,670x = 2,787,605,359,201,826,304
  5. Step 5: Solve for x
    x = 2,787,605,359,201,826,304/748,769,670
  6. Step 6: Final answer
    x = 3,722,914,363.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.