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Finding the Third Proportional to 5,078,063,978 and 7,843,488,399

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Solution

The third proportional to 5,078,063,978 and 7,843,488,399 is: 12,114,914,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078,063,978 : 7,843,488,399 = 7,843,488,399 : x
  2. Step 2: Convert to fraction form
    5,078,063,978/7,843,488,399 = 7,843,488,399/x
  3. Step 3: Cross multiply
    5,078,063,978x = 7,843,488,399 × 7,843,488,399
  4. Step 4: Simplify right side
    5,078,063,978x = 61,520,310,265,247,580,160
  5. Step 5: Solve for x
    x = 61,520,310,265,247,580,160/5,078,063,978
  6. Step 6: Final answer
    x = 12,114,914,371.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.