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Finding the Third Proportional to 225,667,836 and 491,398,362

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Solution

The third proportional to 225,667,836 and 491,398,362 is: 1,070,034,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,667,836 : 491,398,362 = 491,398,362 : x
  2. Step 2: Convert to fraction form
    225,667,836/491,398,362 = 491,398,362/x
  3. Step 3: Cross multiply
    225,667,836x = 491,398,362 × 491,398,362
  4. Step 4: Simplify right side
    225,667,836x = 241,472,350,176,283,040
  5. Step 5: Solve for x
    x = 241,472,350,176,283,040/225,667,836
  6. Step 6: Final answer
    x = 1,070,034,411.89

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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.