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Finding the Third Proportional to 7,285,159.50 and 10,691,543.25

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Solution

The third proportional to 7,285,159.50 and 10,691,543.25 is: 15,690,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,159.50 : 10,691,543.25 = 10,691,543.25 : x
  2. Step 2: Convert to fraction form
    7,285,159.50/10,691,543.25 = 10,691,543.25/x
  3. Step 3: Cross multiply
    7,285,159.50x = 10,691,543.25 × 10,691,543.25
  4. Step 4: Simplify right side
    7,285,159.50x = 114,309,097,066,620.56
  5. Step 5: Solve for x
    x = 114,309,097,066,620.56/7,285,159.50
  6. Step 6: Final answer
    x = 15,690,678.71

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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.