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Finding the Third Proportional to 631,681,229 and 981,969,362

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Solution

The third proportional to 631,681,229 and 981,969,362 is: 1,526,503,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,681,229 : 981,969,362 = 981,969,362 : x
  2. Step 2: Convert to fraction form
    631,681,229/981,969,362 = 981,969,362/x
  3. Step 3: Cross multiply
    631,681,229x = 981,969,362 × 981,969,362
  4. Step 4: Simplify right side
    631,681,229x = 964,263,827,906,687,104
  5. Step 5: Solve for x
    x = 964,263,827,906,687,104/631,681,229
  6. Step 6: Final answer
    x = 1,526,503,849.79

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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.