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Finding the Third Proportional to 7,827,741 and 11,944,071

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Solution

The third proportional to 7,827,741 and 11,944,071 is: 18,225,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,741 : 11,944,071 = 11,944,071 : x
  2. Step 2: Convert to fraction form
    7,827,741/11,944,071 = 11,944,071/x
  3. Step 3: Cross multiply
    7,827,741x = 11,944,071 × 11,944,071
  4. Step 4: Simplify right side
    7,827,741x = 142,660,832,053,041
  5. Step 5: Solve for x
    x = 142,660,832,053,041/7,827,741
  6. Step 6: Final answer
    x = 18,225,032.24

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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.