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Finding the Third Proportional to 2,365,908.75 and 5,027,143.50

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Solution

The third proportional to 2,365,908.75 and 5,027,143.50 is: 10,681,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,908.75 : 5,027,143.50 = 5,027,143.50 : x
  2. Step 2: Convert to fraction form
    2,365,908.75/5,027,143.50 = 5,027,143.50/x
  3. Step 3: Cross multiply
    2,365,908.75x = 5,027,143.50 × 5,027,143.50
  4. Step 4: Simplify right side
    2,365,908.75x = 25,272,171,769,592.25
  5. Step 5: Solve for x
    x = 25,272,171,769,592.25/2,365,908.75
  6. Step 6: Final answer
    x = 10,681,803.25

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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.