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Finding the Third Proportional to 3,564,224 and 7,684,864

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Solution

The third proportional to 3,564,224 and 7,684,864 is: 16,569,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,224 : 7,684,864 = 7,684,864 : x
  2. Step 2: Convert to fraction form
    3,564,224/7,684,864 = 7,684,864/x
  3. Step 3: Cross multiply
    3,564,224x = 7,684,864 × 7,684,864
  4. Step 4: Simplify right side
    3,564,224x = 59,057,134,698,496
  5. Step 5: Solve for x
    x = 59,057,134,698,496/3,564,224
  6. Step 6: Final answer
    x = 16,569,422.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.