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Finding the Third Proportional to 7,438,332.94 and 11,494,117.69

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Solution

The third proportional to 7,438,332.94 and 11,494,117.69 is: 17,761,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438,332.94 : 11,494,117.69 = 11,494,117.69 : x
  2. Step 2: Convert to fraction form
    7,438,332.94/11,494,117.69 = 11,494,117.69/x
  3. Step 3: Cross multiply
    7,438,332.94x = 11,494,117.69 × 11,494,117.69
  4. Step 4: Simplify right side
    7,438,332.94x = 132,114,741,414,100.34
  5. Step 5: Solve for x
    x = 132,114,741,414,100.34/7,438,332.94
  6. Step 6: Final answer
    x = 17,761,337.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.