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Finding the Third Proportional to 5,824,480 and 12,768,704

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Solution

The third proportional to 5,824,480 and 12,768,704 is: 27,992,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,480 : 12,768,704 = 12,768,704 : x
  2. Step 2: Convert to fraction form
    5,824,480/12,768,704 = 12,768,704/x
  3. Step 3: Cross multiply
    5,824,480x = 12,768,704 × 12,768,704
  4. Step 4: Simplify right side
    5,824,480x = 163,039,801,839,616
  5. Step 5: Solve for x
    x = 163,039,801,839,616/5,824,480
  6. Step 6: Final answer
    x = 27,992,164.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.