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Finding the Third Proportional to 4,100,045.25 and 8,972,263.50

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Solution

The third proportional to 4,100,045.25 and 8,972,263.50 is: 19,634,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,045.25 : 8,972,263.50 = 8,972,263.50 : x
  2. Step 2: Convert to fraction form
    4,100,045.25/8,972,263.50 = 8,972,263.50/x
  3. Step 3: Cross multiply
    4,100,045.25x = 8,972,263.50 × 8,972,263.50
  4. Step 4: Simplify right side
    4,100,045.25x = 80,501,512,313,432.25
  5. Step 5: Solve for x
    x = 80,501,512,313,432.25/4,100,045.25
  6. Step 6: Final answer
    x = 19,634,298.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.