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Finding the Third Proportional to 6,207,980.25 and 9,577,764.75

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Solution

The third proportional to 6,207,980.25 and 9,577,764.75 is: 14,776,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207,980.25 : 9,577,764.75 = 9,577,764.75 : x
  2. Step 2: Convert to fraction form
    6,207,980.25/9,577,764.75 = 9,577,764.75/x
  3. Step 3: Cross multiply
    6,207,980.25x = 9,577,764.75 × 9,577,764.75
  4. Step 4: Simplify right side
    6,207,980.25x = 91,733,577,606,342.56
  5. Step 5: Solve for x
    x = 91,733,577,606,342.56/6,207,980.25
  6. Step 6: Final answer
    x = 14,776,718.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.