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Finding the Third Proportional to 5,827,214 and 9,120,996

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Solution

The third proportional to 5,827,214 and 9,120,996 is: 14,276,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827,214 : 9,120,996 = 9,120,996 : x
  2. Step 2: Convert to fraction form
    5,827,214/9,120,996 = 9,120,996/x
  3. Step 3: Cross multiply
    5,827,214x = 9,120,996 × 9,120,996
  4. Step 4: Simplify right side
    5,827,214x = 83,192,568,032,016
  5. Step 5: Solve for x
    x = 83,192,568,032,016/5,827,214
  6. Step 6: Final answer
    x = 14,276,559.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.