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Finding the Third Proportional to 4,612,482,078.75 and 6,888,497,924.25

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Solution

The third proportional to 4,612,482,078.75 and 6,888,497,924.25 is: 10,287,607,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612,482,078.75 : 6,888,497,924.25 = 6,888,497,924.25 : x
  2. Step 2: Convert to fraction form
    4,612,482,078.75/6,888,497,924.25 = 6,888,497,924.25/x
  3. Step 3: Cross multiply
    4,612,482,078.75x = 6,888,497,924.25 × 6,888,497,924.25
  4. Step 4: Simplify right side
    4,612,482,078.75x = 47,451,403,652,396,556,288
  5. Step 5: Solve for x
    x = 47,451,403,652,396,556,288/4,612,482,078.75
  6. Step 6: Final answer
    x = 10,287,607,158.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.