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Finding the Third Proportional to 5,681,784 and 12,206,832

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Solution

The third proportional to 5,681,784 and 12,206,832 is: 26,225,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,784 : 12,206,832 = 12,206,832 : x
  2. Step 2: Convert to fraction form
    5,681,784/12,206,832 = 12,206,832/x
  3. Step 3: Cross multiply
    5,681,784x = 12,206,832 × 12,206,832
  4. Step 4: Simplify right side
    5,681,784x = 149,006,747,476,224
  5. Step 5: Solve for x
    x = 149,006,747,476,224/5,681,784
  6. Step 6: Final answer
    x = 26,225,345.33

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