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Finding the Third Proportional to 3,207,115.69 and 6,915,532.78

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Solution

The third proportional to 3,207,115.69 and 6,915,532.78 is: 14,912,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,115.69 : 6,915,532.78 = 6,915,532.78 : x
  2. Step 2: Convert to fraction form
    3,207,115.69/6,915,532.78 = 6,915,532.78/x
  3. Step 3: Cross multiply
    3,207,115.69x = 6,915,532.78 × 6,915,532.78
  4. Step 4: Simplify right side
    3,207,115.69x = 47,824,593,648,543.36
  5. Step 5: Solve for x
    x = 47,824,593,648,543.36/3,207,115.69
  6. Step 6: Final answer
    x = 14,912,026.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.