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Finding the Third Proportional to 631,681,230 and 981,969,363

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Solution

The third proportional to 631,681,230 and 981,969,363 is: 1,526,503,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,681,230 : 981,969,363 = 981,969,363 : x
  2. Step 2: Convert to fraction form
    631,681,230/981,969,363 = 981,969,363/x
  3. Step 3: Cross multiply
    631,681,230x = 981,969,363 × 981,969,363
  4. Step 4: Simplify right side
    631,681,230x = 964,263,829,870,625,792
  5. Step 5: Solve for x
    x = 964,263,829,870,625,792/631,681,230
  6. Step 6: Final answer
    x = 1,526,503,850.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.