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Finding the Third Proportional to 8,156,607,918 and 12,595,229,076

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Solution

The third proportional to 8,156,607,918 and 12,595,229,076 is: 19,449,236,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156,607,918 : 12,595,229,076 = 12,595,229,076 : x
  2. Step 2: Convert to fraction form
    8,156,607,918/12,595,229,076 = 12,595,229,076/x
  3. Step 3: Cross multiply
    8,156,607,918x = 12,595,229,076 × 12,595,229,076
  4. Step 4: Simplify right side
    8,156,607,918x = 158,639,795,476,915,814,400
  5. Step 5: Solve for x
    x = 158,639,795,476,915,814,400/8,156,607,918
  6. Step 6: Final answer
    x = 19,449,236,382.54

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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.