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Finding the Third Proportional to 6,155,793,812 and 12,482,879,822

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Solution

The third proportional to 6,155,793,812 and 12,482,879,822 is: 25,313,110,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155,793,812 : 12,482,879,822 = 12,482,879,822 : x
  2. Step 2: Convert to fraction form
    6,155,793,812/12,482,879,822 = 12,482,879,822/x
  3. Step 3: Cross multiply
    6,155,793,812x = 12,482,879,822 × 12,482,879,822
  4. Step 4: Simplify right side
    6,155,793,812x = 155,822,288,650,494,738,432
  5. Step 5: Solve for x
    x = 155,822,288,650,494,738,432/6,155,793,812
  6. Step 6: Final answer
    x = 25,313,110,446.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.