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Finding the Third Proportional to 2,803,770,480.75 and 5,982,811,207.50

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Solution

The third proportional to 2,803,770,480.75 and 5,982,811,207.50 is: 12,766,390,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,770,480.75 : 5,982,811,207.50 = 5,982,811,207.50 : x
  2. Step 2: Convert to fraction form
    2,803,770,480.75/5,982,811,207.50 = 5,982,811,207.50/x
  3. Step 3: Cross multiply
    2,803,770,480.75x = 5,982,811,207.50 × 5,982,811,207.50
  4. Step 4: Simplify right side
    2,803,770,480.75x = 35,794,029,944,587,608,064
  5. Step 5: Solve for x
    x = 35,794,029,944,587,608,064/2,803,770,480.75
  6. Step 6: Final answer
    x = 12,766,390,897.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.