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Finding the Third Proportional to 2,364,946.88 and 5,187,705.75

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Solution

The third proportional to 2,364,946.88 and 5,187,705.75 is: 11,379,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,946.88 : 5,187,705.75 = 5,187,705.75 : x
  2. Step 2: Convert to fraction form
    2,364,946.88/5,187,705.75 = 5,187,705.75/x
  3. Step 3: Cross multiply
    2,364,946.88x = 5,187,705.75 × 5,187,705.75
  4. Step 4: Simplify right side
    2,364,946.88x = 26,912,290,948,583.06
  5. Step 5: Solve for x
    x = 26,912,290,948,583.06/2,364,946.88
  6. Step 6: Final answer
    x = 11,379,659.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.