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Finding the Third Proportional to 5,145,266.25 and 10,160,406

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Solution

The third proportional to 5,145,266.25 and 10,160,406 is: 20,063,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145,266.25 : 10,160,406 = 10,160,406 : x
  2. Step 2: Convert to fraction form
    5,145,266.25/10,160,406 = 10,160,406/x
  3. Step 3: Cross multiply
    5,145,266.25x = 10,160,406 × 10,160,406
  4. Step 4: Simplify right side
    5,145,266.25x = 103,233,850,084,836
  5. Step 5: Solve for x
    x = 103,233,850,084,836/5,145,266.25
  6. Step 6: Final answer
    x = 20,063,849.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.