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Finding the Third Proportional to 2,370,405.50 and 5,213,418.50

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Solution

The third proportional to 2,370,405.50 and 5,213,418.50 is: 11,466,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,405.50 : 5,213,418.50 = 5,213,418.50 : x
  2. Step 2: Convert to fraction form
    2,370,405.50/5,213,418.50 = 5,213,418.50/x
  3. Step 3: Cross multiply
    2,370,405.50x = 5,213,418.50 × 5,213,418.50
  4. Step 4: Simplify right side
    2,370,405.50x = 27,179,732,456,142.25
  5. Step 5: Solve for x
    x = 27,179,732,456,142.25/2,370,405.50
  6. Step 6: Final answer
    x = 11,466,279.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.