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Finding the Third Proportional to 5,458,433,487.75 and 7,800,227,920.13

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Solution

The third proportional to 5,458,433,487.75 and 7,800,227,920.13 is: 11,146,706,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,433,487.75 : 7,800,227,920.13 = 7,800,227,920.13 : x
  2. Step 2: Convert to fraction form
    5,458,433,487.75/7,800,227,920.13 = 7,800,227,920.13/x
  3. Step 3: Cross multiply
    5,458,433,487.75x = 7,800,227,920.13 × 7,800,227,920.13
  4. Step 4: Simplify right side
    5,458,433,487.75x = 60,843,555,605,897,584,640
  5. Step 5: Solve for x
    x = 60,843,555,605,897,584,640/5,458,433,487.75
  6. Step 6: Final answer
    x = 11,146,706,420.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.