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Finding the Third Proportional to 1,914,437,743 and 4,164,304,909

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Solution

The third proportional to 1,914,437,743 and 4,164,304,909 is: 9,058,239,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,437,743 : 4,164,304,909 = 4,164,304,909 : x
  2. Step 2: Convert to fraction form
    1,914,437,743/4,164,304,909 = 4,164,304,909/x
  3. Step 3: Cross multiply
    1,914,437,743x = 4,164,304,909 × 4,164,304,909
  4. Step 4: Simplify right side
    1,914,437,743x = 17,341,435,375,121,498,112
  5. Step 5: Solve for x
    x = 17,341,435,375,121,498,112/1,914,437,743
  6. Step 6: Final answer
    x = 9,058,239,390.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.