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Finding the Third Proportional to 1,137,165,732 and 1,719,745,398

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Solution

The third proportional to 1,137,165,732 and 1,719,745,398 is: 2,600,785,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,165,732 : 1,719,745,398 = 1,719,745,398 : x
  2. Step 2: Convert to fraction form
    1,137,165,732/1,719,745,398 = 1,719,745,398/x
  3. Step 3: Cross multiply
    1,137,165,732x = 1,719,745,398 × 1,719,745,398
  4. Step 4: Simplify right side
    1,137,165,732x = 2,957,524,233,942,178,304
  5. Step 5: Solve for x
    x = 2,957,524,233,942,178,304/1,137,165,732
  6. Step 6: Final answer
    x = 2,600,785,576.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.