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Finding the Third Proportional to 10,203,562.50 and 22,200,665.25

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Solution

The third proportional to 10,203,562.50 and 22,200,665.25 is: 48,303,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,562.50 : 22,200,665.25 = 22,200,665.25 : x
  2. Step 2: Convert to fraction form
    10,203,562.50/22,200,665.25 = 22,200,665.25/x
  3. Step 3: Cross multiply
    10,203,562.50x = 22,200,665.25 × 22,200,665.25
  4. Step 4: Simplify right side
    10,203,562.50x = 492,869,537,542,557.56
  5. Step 5: Solve for x
    x = 492,869,537,542,557.56/10,203,562.50
  6. Step 6: Final answer
    x = 48,303,672.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.