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Finding the Third Proportional to 4,752,829.50 and 10,263,229.50

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Solution

The third proportional to 4,752,829.50 and 10,263,229.50 is: 22,162,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752,829.50 : 10,263,229.50 = 10,263,229.50 : x
  2. Step 2: Convert to fraction form
    4,752,829.50/10,263,229.50 = 10,263,229.50/x
  3. Step 3: Cross multiply
    4,752,829.50x = 10,263,229.50 × 10,263,229.50
  4. Step 4: Simplify right side
    4,752,829.50x = 105,333,879,769,670.25
  5. Step 5: Solve for x
    x = 105,333,879,769,670.25/4,752,829.50
  6. Step 6: Final answer
    x = 22,162,351.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.