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Finding the Third Proportional to 981,681,682.50 and 1,562,805,168.75

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Solution

The third proportional to 981,681,682.50 and 1,562,805,168.75 is: 2,487,934,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,681,682.50 : 1,562,805,168.75 = 1,562,805,168.75 : x
  2. Step 2: Convert to fraction form
    981,681,682.50/1,562,805,168.75 = 1,562,805,168.75/x
  3. Step 3: Cross multiply
    981,681,682.50x = 1,562,805,168.75 × 1,562,805,168.75
  4. Step 4: Simplify right side
    981,681,682.50x = 2,442,359,995,471,715,840
  5. Step 5: Solve for x
    x = 2,442,359,995,471,715,840/981,681,682.50
  6. Step 6: Final answer
    x = 2,487,934,774.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.