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Finding the Third Proportional to 3,842,280 and 8,229,203

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Solution

The third proportional to 3,842,280 and 8,229,203 is: 17,624,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842,280 : 8,229,203 = 8,229,203 : x
  2. Step 2: Convert to fraction form
    3,842,280/8,229,203 = 8,229,203/x
  3. Step 3: Cross multiply
    3,842,280x = 8,229,203 × 8,229,203
  4. Step 4: Simplify right side
    3,842,280x = 67,719,782,015,209
  5. Step 5: Solve for x
    x = 67,719,782,015,209/3,842,280
  6. Step 6: Final answer
    x = 17,624,895.12

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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.