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Finding the Third Proportional to 7,551,923.77 and 11,186,321.48

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Solution

The third proportional to 7,551,923.77 and 11,186,321.48 is: 16,569,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551,923.77 : 11,186,321.48 = 11,186,321.48 : x
  2. Step 2: Convert to fraction form
    7,551,923.77/11,186,321.48 = 11,186,321.48/x
  3. Step 3: Cross multiply
    7,551,923.77x = 11,186,321.48 × 11,186,321.48
  4. Step 4: Simplify right side
    7,551,923.77x = 125,133,788,351,789.70
  5. Step 5: Solve for x
    x = 125,133,788,351,789.70/7,551,923.77
  6. Step 6: Final answer
    x = 16,569,789.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.