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Finding the Third Proportional to 10,127,578.50 and 22,176,163.13

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Solution

The third proportional to 10,127,578.50 and 22,176,163.13 is: 48,558,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127,578.50 : 22,176,163.13 = 22,176,163.13 : x
  2. Step 2: Convert to fraction form
    10,127,578.50/22,176,163.13 = 22,176,163.13/x
  3. Step 3: Cross multiply
    10,127,578.50x = 22,176,163.13 × 22,176,163.13
  4. Step 4: Simplify right side
    10,127,578.50x = 491,782,210,946,609.75
  5. Step 5: Solve for x
    x = 491,782,210,946,609.75/10,127,578.50
  6. Step 6: Final answer
    x = 48,558,716.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.