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Finding the Third Proportional to 527,018,105 and 1,144,760,478

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Solution

The third proportional to 527,018,105 and 1,144,760,478 is: 2,486,587,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,018,105 : 1,144,760,478 = 1,144,760,478 : x
  2. Step 2: Convert to fraction form
    527,018,105/1,144,760,478 = 1,144,760,478/x
  3. Step 3: Cross multiply
    527,018,105x = 1,144,760,478 × 1,144,760,478
  4. Step 4: Simplify right side
    527,018,105x = 1,310,476,551,990,788,608
  5. Step 5: Solve for x
    x = 1,310,476,551,990,788,608/527,018,105
  6. Step 6: Final answer
    x = 2,486,587,347.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.