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Finding the Third Proportional to 6,758,928.25 and 10,472,358.38

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Solution

The third proportional to 6,758,928.25 and 10,472,358.38 is: 16,225,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758,928.25 : 10,472,358.38 = 10,472,358.38 : x
  2. Step 2: Convert to fraction form
    6,758,928.25/10,472,358.38 = 10,472,358.38/x
  3. Step 3: Cross multiply
    6,758,928.25x = 10,472,358.38 × 10,472,358.38
  4. Step 4: Simplify right side
    6,758,928.25x = 109,670,289,934,432.64
  5. Step 5: Solve for x
    x = 109,670,289,934,432.64/6,758,928.25
  6. Step 6: Final answer
    x = 16,225,988.20

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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.