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Finding the Third Proportional to 5,181,000,296 and 7,958,650,180

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Solution

The third proportional to 5,181,000,296 and 7,958,650,180 is: 12,225,460,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181,000,296 : 7,958,650,180 = 7,958,650,180 : x
  2. Step 2: Convert to fraction form
    5,181,000,296/7,958,650,180 = 7,958,650,180/x
  3. Step 3: Cross multiply
    5,181,000,296x = 7,958,650,180 × 7,958,650,180
  4. Step 4: Simplify right side
    5,181,000,296x = 63,340,112,687,614,033,920
  5. Step 5: Solve for x
    x = 63,340,112,687,614,033,920/5,181,000,296
  6. Step 6: Final answer
    x = 12,225,460,156.12

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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.