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Finding the Third Proportional to 527,018,109 and 1,144,760,486

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Solution

The third proportional to 527,018,109 and 1,144,760,486 is: 2,486,587,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,018,109 : 1,144,760,486 = 1,144,760,486 : x
  2. Step 2: Convert to fraction form
    527,018,109/1,144,760,486 = 1,144,760,486/x
  3. Step 3: Cross multiply
    527,018,109x = 1,144,760,486 × 1,144,760,486
  4. Step 4: Simplify right side
    527,018,109x = 1,310,476,570,306,956,288
  5. Step 5: Solve for x
    x = 1,310,476,570,306,956,288/527,018,109
  6. Step 6: Final answer
    x = 2,486,587,363.75

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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.