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Finding the Third Proportional to 2,414,569.50 and 5,117,002.88

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Solution

The third proportional to 2,414,569.50 and 5,117,002.88 is: 10,844,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,569.50 : 5,117,002.88 = 5,117,002.88 : x
  2. Step 2: Convert to fraction form
    2,414,569.50/5,117,002.88 = 5,117,002.88/x
  3. Step 3: Cross multiply
    2,414,569.50x = 5,117,002.88 × 5,117,002.88
  4. Step 4: Simplify right side
    2,414,569.50x = 26,183,718,422,758.27
  5. Step 5: Solve for x
    x = 26,183,718,422,758.27/2,414,569.50
  6. Step 6: Final answer
    x = 10,844,052.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.