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Finding the Third Proportional to 4,680,858,762 and 6,418,594,682

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Solution

The third proportional to 4,680,858,762 and 6,418,594,682 is: 8,801,452,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680,858,762 : 6,418,594,682 = 6,418,594,682 : x
  2. Step 2: Convert to fraction form
    4,680,858,762/6,418,594,682 = 6,418,594,682/x
  3. Step 3: Cross multiply
    4,680,858,762x = 6,418,594,682 × 6,418,594,682
  4. Step 4: Simplify right side
    4,680,858,762x = 41,198,357,691,798,683,648
  5. Step 5: Solve for x
    x = 41,198,357,691,798,683,648/4,680,858,762
  6. Step 6: Final answer
    x = 8,801,452,850.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.