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Finding the Third Proportional to 7,736,581,475 and 11,613,060,825

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Solution

The third proportional to 7,736,581,475 and 11,613,060,825 is: 17,431,882,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736,581,475 : 11,613,060,825 = 11,613,060,825 : x
  2. Step 2: Convert to fraction form
    7,736,581,475/11,613,060,825 = 11,613,060,825/x
  3. Step 3: Cross multiply
    7,736,581,475x = 11,613,060,825 × 11,613,060,825
  4. Step 4: Simplify right side
    7,736,581,475x = 134,863,181,725,149,675,520
  5. Step 5: Solve for x
    x = 134,863,181,725,149,675,520/7,736,581,475
  6. Step 6: Final answer
    x = 17,431,882,823.30

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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.