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Finding the Third Proportional to 2,565,538.78 and 5,577,623.81

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Solution

The third proportional to 2,565,538.78 and 5,577,623.81 is: 12,126,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,538.78 : 5,577,623.81 = 5,577,623.81 : x
  2. Step 2: Convert to fraction form
    2,565,538.78/5,577,623.81 = 5,577,623.81/x
  3. Step 3: Cross multiply
    2,565,538.78x = 5,577,623.81 × 5,577,623.81
  4. Step 4: Simplify right side
    2,565,538.78x = 31,109,887,393,767.04
  5. Step 5: Solve for x
    x = 31,109,887,393,767.04/2,565,538.78
  6. Step 6: Final answer
    x = 12,126,063.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.