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Finding the Third Proportional to 7,494,586 and 16,125,864

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Solution

The third proportional to 7,494,586 and 16,125,864 is: 34,697,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494,586 : 16,125,864 = 16,125,864 : x
  2. Step 2: Convert to fraction form
    7,494,586/16,125,864 = 16,125,864/x
  3. Step 3: Cross multiply
    7,494,586x = 16,125,864 × 16,125,864
  4. Step 4: Simplify right side
    7,494,586x = 260,043,489,746,496
  5. Step 5: Solve for x
    x = 260,043,489,746,496/7,494,586
  6. Step 6: Final answer
    x = 34,697,512.28

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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.