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Finding the Third Proportional to 2,400,277.50 and 5,200,776

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Solution

The third proportional to 2,400,277.50 and 5,200,776 is: 11,268,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,277.50 : 5,200,776 = 5,200,776 : x
  2. Step 2: Convert to fraction form
    2,400,277.50/5,200,776 = 5,200,776/x
  3. Step 3: Cross multiply
    2,400,277.50x = 5,200,776 × 5,200,776
  4. Step 4: Simplify right side
    2,400,277.50x = 27,048,071,002,176
  5. Step 5: Solve for x
    x = 27,048,071,002,176/2,400,277.50
  6. Step 6: Final answer
    x = 11,268,726.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.