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Finding the Third Proportional to 2,697,866,676 and 4,046,786,649

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Solution

The third proportional to 2,697,866,676 and 4,046,786,649 is: 6,070,159,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,866,676 : 4,046,786,649 = 4,046,786,649 : x
  2. Step 2: Convert to fraction form
    2,697,866,676/4,046,786,649 = 4,046,786,649/x
  3. Step 3: Cross multiply
    2,697,866,676x = 4,046,786,649 × 4,046,786,649
  4. Step 4: Simplify right side
    2,697,866,676x = 16,376,482,182,524,649,472
  5. Step 5: Solve for x
    x = 16,376,482,182,524,649,472/2,697,866,676
  6. Step 6: Final answer
    x = 6,070,159,926.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.