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Finding the Third Proportional to 786,794,882 and 1,715,981,282

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Solution

The third proportional to 786,794,882 and 1,715,981,282 is: 3,742,515,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,794,882 : 1,715,981,282 = 1,715,981,282 : x
  2. Step 2: Convert to fraction form
    786,794,882/1,715,981,282 = 1,715,981,282/x
  3. Step 3: Cross multiply
    786,794,882x = 1,715,981,282 × 1,715,981,282
  4. Step 4: Simplify right side
    786,794,882x = 2,944,591,760,174,363,648
  5. Step 5: Solve for x
    x = 2,944,591,760,174,363,648/786,794,882
  6. Step 6: Final answer
    x = 3,742,515,142.82

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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.