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Finding the Third Proportional to 7,332,306 and 11,092,831

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Solution

The third proportional to 7,332,306 and 11,092,831 is: 16,782,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332,306 : 11,092,831 = 11,092,831 : x
  2. Step 2: Convert to fraction form
    7,332,306/11,092,831 = 11,092,831/x
  3. Step 3: Cross multiply
    7,332,306x = 11,092,831 × 11,092,831
  4. Step 4: Simplify right side
    7,332,306x = 123,050,899,594,561
  5. Step 5: Solve for x
    x = 123,050,899,594,561/7,332,306
  6. Step 6: Final answer
    x = 16,782,019.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.