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Finding the Third Proportional to 8,025,268 and 17,304,416

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Solution

The third proportional to 8,025,268 and 17,304,416 is: 37,312,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025,268 : 17,304,416 = 17,304,416 : x
  2. Step 2: Convert to fraction form
    8,025,268/17,304,416 = 17,304,416/x
  3. Step 3: Cross multiply
    8,025,268x = 17,304,416 × 17,304,416
  4. Step 4: Simplify right side
    8,025,268x = 299,442,813,101,056
  5. Step 5: Solve for x
    x = 299,442,813,101,056/8,025,268
  6. Step 6: Final answer
    x = 37,312,500.11

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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.