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Finding the Third Proportional to 5,877,128.25 and 9,081,654.75

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Solution

The third proportional to 5,877,128.25 and 9,081,654.75 is: 14,033,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,128.25 : 9,081,654.75 = 9,081,654.75 : x
  2. Step 2: Convert to fraction form
    5,877,128.25/9,081,654.75 = 9,081,654.75/x
  3. Step 3: Cross multiply
    5,877,128.25x = 9,081,654.75 × 9,081,654.75
  4. Step 4: Simplify right side
    5,877,128.25x = 82,476,452,998,197.56
  5. Step 5: Solve for x
    x = 82,476,452,998,197.56/5,877,128.25
  6. Step 6: Final answer
    x = 14,033,461.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.