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Finding the Third Proportional to 2,864,569.50 and 6,024,051

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Solution

The third proportional to 2,864,569.50 and 6,024,051 is: 12,668,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,569.50 : 6,024,051 = 6,024,051 : x
  2. Step 2: Convert to fraction form
    2,864,569.50/6,024,051 = 6,024,051/x
  3. Step 3: Cross multiply
    2,864,569.50x = 6,024,051 × 6,024,051
  4. Step 4: Simplify right side
    2,864,569.50x = 36,289,190,450,601
  5. Step 5: Solve for x
    x = 36,289,190,450,601/2,864,569.50
  6. Step 6: Final answer
    x = 12,668,287.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.