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Finding the Third Proportional to 10,177,519.75 and 21,949,301.75

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Solution

The third proportional to 10,177,519.75 and 21,949,301.75 is: 47,336,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177,519.75 : 21,949,301.75 = 21,949,301.75 : x
  2. Step 2: Convert to fraction form
    10,177,519.75/21,949,301.75 = 21,949,301.75/x
  3. Step 3: Cross multiply
    10,177,519.75x = 21,949,301.75 × 21,949,301.75
  4. Step 4: Simplify right side
    10,177,519.75x = 481,771,847,312,553.06
  5. Step 5: Solve for x
    x = 481,771,847,312,553.06/10,177,519.75
  6. Step 6: Final answer
    x = 47,336,861.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.