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Finding the Third Proportional to 5,884,704.42 and 12,671,119.20

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Solution

The third proportional to 5,884,704.42 and 12,671,119.20 is: 27,283,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,704.42 : 12,671,119.20 = 12,671,119.20 : x
  2. Step 2: Convert to fraction form
    5,884,704.42/12,671,119.20 = 12,671,119.20/x
  3. Step 3: Cross multiply
    5,884,704.42x = 12,671,119.20 × 12,671,119.20
  4. Step 4: Simplify right side
    5,884,704.42x = 160,557,261,661,804.25
  5. Step 5: Solve for x
    x = 160,557,261,661,804.25/5,884,704.42
  6. Step 6: Final answer
    x = 27,283,827.73

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Why These Related Problems?

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