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Finding the Third Proportional to 231,922,846 and 497,044,747

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Solution

The third proportional to 231,922,846 and 497,044,747 is: 1,065,239,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,922,846 : 497,044,747 = 497,044,747 : x
  2. Step 2: Convert to fraction form
    231,922,846/497,044,747 = 497,044,747/x
  3. Step 3: Cross multiply
    231,922,846x = 497,044,747 × 497,044,747
  4. Step 4: Simplify right side
    231,922,846x = 247,053,480,520,294,016
  5. Step 5: Solve for x
    x = 247,053,480,520,294,016/231,922,846
  6. Step 6: Final answer
    x = 1,065,239,948.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.