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Finding the Third Proportional to 7,736,581,468 and 11,613,060,814

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Solution

The third proportional to 7,736,581,468 and 11,613,060,814 is: 17,431,882,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736,581,468 : 11,613,060,814 = 11,613,060,814 : x
  2. Step 2: Convert to fraction form
    7,736,581,468/11,613,060,814 = 11,613,060,814/x
  3. Step 3: Cross multiply
    7,736,581,468x = 11,613,060,814 × 11,613,060,814
  4. Step 4: Simplify right side
    7,736,581,468x = 134,863,181,469,662,347,264
  5. Step 5: Solve for x
    x = 134,863,181,469,662,347,264/7,736,581,468
  6. Step 6: Final answer
    x = 17,431,882,806.05

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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.