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Finding the Third Proportional to 7,234,948.69 and 11,516,623.88

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Solution

The third proportional to 7,234,948.69 and 11,516,623.88 is: 18,332,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,948.69 : 11,516,623.88 = 11,516,623.88 : x
  2. Step 2: Convert to fraction form
    7,234,948.69/11,516,623.88 = 11,516,623.88/x
  3. Step 3: Cross multiply
    7,234,948.69x = 11,516,623.88 × 11,516,623.88
  4. Step 4: Simplify right side
    7,234,948.69x = 132,632,625,478,220.02
  5. Step 5: Solve for x
    x = 132,632,625,478,220.02/7,234,948.69
  6. Step 6: Final answer
    x = 18,332,213.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.