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Finding the Third Proportional to 6,842,605.13 and 9,566,364.75

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Solution

The third proportional to 6,842,605.13 and 9,566,364.75 is: 13,374,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,605.13 : 9,566,364.75 = 9,566,364.75 : x
  2. Step 2: Convert to fraction form
    6,842,605.13/9,566,364.75 = 9,566,364.75/x
  3. Step 3: Cross multiply
    6,842,605.13x = 9,566,364.75 × 9,566,364.75
  4. Step 4: Simplify right side
    6,842,605.13x = 91,515,334,530,042.56
  5. Step 5: Solve for x
    x = 91,515,334,530,042.56/6,842,605.13
  6. Step 6: Final answer
    x = 13,374,341.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.