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Finding the Third Proportional to 7,284,930.75 and 10,691,200.13

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Solution

The third proportional to 7,284,930.75 and 10,691,200.13 is: 15,690,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,930.75 : 10,691,200.13 = 10,691,200.13 : x
  2. Step 2: Convert to fraction form
    7,284,930.75/10,691,200.13 = 10,691,200.13/x
  3. Step 3: Cross multiply
    7,284,930.75x = 10,691,200.13 × 10,691,200.13
  4. Step 4: Simplify right side
    7,284,930.75x = 114,301,760,112,800.02
  5. Step 5: Solve for x
    x = 114,301,760,112,800.02/7,284,930.75
  6. Step 6: Final answer
    x = 15,690,164.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.