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Finding the Third Proportional to 6,761,327,334 and 9,342,876,468

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Solution

The third proportional to 6,761,327,334 and 9,342,876,468 is: 12,910,089,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761,327,334 : 9,342,876,468 = 9,342,876,468 : x
  2. Step 2: Convert to fraction form
    6,761,327,334/9,342,876,468 = 9,342,876,468/x
  3. Step 3: Cross multiply
    6,761,327,334x = 9,342,876,468 × 9,342,876,468
  4. Step 4: Simplify right side
    6,761,327,334x = 87,289,340,696,308,154,368
  5. Step 5: Solve for x
    x = 87,289,340,696,308,154,368/6,761,327,334
  6. Step 6: Final answer
    x = 12,910,089,452.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.