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Finding the Third Proportional to 3,827,358 and 8,204,214

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Solution

The third proportional to 3,827,358 and 8,204,214 is: 17,586,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827,358 : 8,204,214 = 8,204,214 : x
  2. Step 2: Convert to fraction form
    3,827,358/8,204,214 = 8,204,214/x
  3. Step 3: Cross multiply
    3,827,358x = 8,204,214 × 8,204,214
  4. Step 4: Simplify right side
    3,827,358x = 67,309,127,357,796
  5. Step 5: Solve for x
    x = 67,309,127,357,796/3,827,358
  6. Step 6: Final answer
    x = 17,586,316.03

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