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Finding the Third Proportional to 8,313,524 and 17,864,728

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Solution

The third proportional to 8,313,524 and 17,864,728 is: 38,389,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313,524 : 17,864,728 = 17,864,728 : x
  2. Step 2: Convert to fraction form
    8,313,524/17,864,728 = 17,864,728/x
  3. Step 3: Cross multiply
    8,313,524x = 17,864,728 × 17,864,728
  4. Step 4: Simplify right side
    8,313,524x = 319,148,506,513,984
  5. Step 5: Solve for x
    x = 319,148,506,513,984/8,313,524
  6. Step 6: Final answer
    x = 38,389,076.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.