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Finding the Third Proportional to 2,577,018.94 and 5,088,989.75

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Solution

The third proportional to 2,577,018.94 and 5,088,989.75 is: 10,049,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,018.94 : 5,088,989.75 = 5,088,989.75 : x
  2. Step 2: Convert to fraction form
    2,577,018.94/5,088,989.75 = 5,088,989.75/x
  3. Step 3: Cross multiply
    2,577,018.94x = 5,088,989.75 × 5,088,989.75
  4. Step 4: Simplify right side
    2,577,018.94x = 25,897,816,675,605.06
  5. Step 5: Solve for x
    x = 25,897,816,675,605.06/2,577,018.94
  6. Step 6: Final answer
    x = 10,049,525.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.