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Finding the Third Proportional to 6,664,910,691 and 14,332,867,062

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Solution

The third proportional to 6,664,910,691 and 14,332,867,062 is: 30,822,780,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664,910,691 : 14,332,867,062 = 14,332,867,062 : x
  2. Step 2: Convert to fraction form
    6,664,910,691/14,332,867,062 = 14,332,867,062/x
  3. Step 3: Cross multiply
    6,664,910,691x = 14,332,867,062 × 14,332,867,062
  4. Step 4: Simplify right side
    6,664,910,691x = 205,431,078,216,964,505,600
  5. Step 5: Solve for x
    x = 205,431,078,216,964,505,600/6,664,910,691
  6. Step 6: Final answer
    x = 30,822,780,340.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.