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Finding the Third Proportional to 2,540,499,387 and 5,503,151,143.50

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Solution

The third proportional to 2,540,499,387 and 5,503,151,143.50 is: 11,920,755,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,499,387 : 5,503,151,143.50 = 5,503,151,143.50 : x
  2. Step 2: Convert to fraction form
    2,540,499,387/5,503,151,143.50 = 5,503,151,143.50/x
  3. Step 3: Cross multiply
    2,540,499,387x = 5,503,151,143.50 × 5,503,151,143.50
  4. Step 4: Simplify right side
    2,540,499,387x = 30,284,672,508,205,359,104
  5. Step 5: Solve for x
    x = 30,284,672,508,205,359,104/2,540,499,387
  6. Step 6: Final answer
    x = 11,920,755,684.17

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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.