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Finding the Third Proportional to 8,124,214 and 17,842,510

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Solution

The third proportional to 8,124,214 and 17,842,510 is: 39,185,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,214 : 17,842,510 = 17,842,510 : x
  2. Step 2: Convert to fraction form
    8,124,214/17,842,510 = 17,842,510/x
  3. Step 3: Cross multiply
    8,124,214x = 17,842,510 × 17,842,510
  4. Step 4: Simplify right side
    8,124,214x = 318,355,163,100,100
  5. Step 5: Solve for x
    x = 318,355,163,100,100/8,124,214
  6. Step 6: Final answer
    x = 39,185,964.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.