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Finding the Third Proportional to 38,226,216 and 82,538,121

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Solution

The third proportional to 38,226,216 and 82,538,121 is: 178,216,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226,216 : 82,538,121 = 82,538,121 : x
  2. Step 2: Convert to fraction form
    38,226,216/82,538,121 = 82,538,121/x
  3. Step 3: Cross multiply
    38,226,216x = 82,538,121 × 82,538,121
  4. Step 4: Simplify right side
    38,226,216x = 6,812,541,418,210,641
  5. Step 5: Solve for x
    x = 6,812,541,418,210,641/38,226,216
  6. Step 6: Final answer
    x = 178,216,473.69

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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.