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Finding the Third Proportional to 4,047,204 and 8,668,210

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Solution

The third proportional to 4,047,204 and 8,668,210 is: 18,565,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047,204 : 8,668,210 = 8,668,210 : x
  2. Step 2: Convert to fraction form
    4,047,204/8,668,210 = 8,668,210/x
  3. Step 3: Cross multiply
    4,047,204x = 8,668,210 × 8,668,210
  4. Step 4: Simplify right side
    4,047,204x = 75,137,864,604,100
  5. Step 5: Solve for x
    x = 75,137,864,604,100/4,047,204
  6. Step 6: Final answer
    x = 18,565,376.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.