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Finding the Third Proportional to 10,178,204 and 22,151,668

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Solution

The third proportional to 10,178,204 and 22,151,668 is: 48,210,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178,204 : 22,151,668 = 22,151,668 : x
  2. Step 2: Convert to fraction form
    10,178,204/22,151,668 = 22,151,668/x
  3. Step 3: Cross multiply
    10,178,204x = 22,151,668 × 22,151,668
  4. Step 4: Simplify right side
    10,178,204x = 490,696,395,182,224
  5. Step 5: Solve for x
    x = 490,696,395,182,224/10,178,204
  6. Step 6: Final answer
    x = 48,210,508.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.