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Finding the Third Proportional to 6,200,780.25 and 9,307,351.88

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Solution

The third proportional to 6,200,780.25 and 9,307,351.88 is: 13,970,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200,780.25 : 9,307,351.88 = 9,307,351.88 : x
  2. Step 2: Convert to fraction form
    6,200,780.25/9,307,351.88 = 9,307,351.88/x
  3. Step 3: Cross multiply
    6,200,780.25x = 9,307,351.88 × 9,307,351.88
  4. Step 4: Simplify right side
    6,200,780.25x = 86,626,798,925,066.02
  5. Step 5: Solve for x
    x = 86,626,798,925,066.02/6,200,780.25
  6. Step 6: Final answer
    x = 13,970,306.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.