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Finding the Third Proportional to 7,827,745 and 11,944,077

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Solution

The third proportional to 7,827,745 and 11,944,077 is: 18,225,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,745 : 11,944,077 = 11,944,077 : x
  2. Step 2: Convert to fraction form
    7,827,745/11,944,077 = 11,944,077/x
  3. Step 3: Cross multiply
    7,827,745x = 11,944,077 × 11,944,077
  4. Step 4: Simplify right side
    7,827,745x = 142,660,975,381,929
  5. Step 5: Solve for x
    x = 142,660,975,381,929/7,827,745
  6. Step 6: Final answer
    x = 18,225,041.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.