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Finding the Third Proportional to 7,963,422.75 and 17,446,236.75

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Solution

The third proportional to 7,963,422.75 and 17,446,236.75 is: 38,221,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963,422.75 : 17,446,236.75 = 17,446,236.75 : x
  2. Step 2: Convert to fraction form
    7,963,422.75/17,446,236.75 = 17,446,236.75/x
  3. Step 3: Cross multiply
    7,963,422.75x = 17,446,236.75 × 17,446,236.75
  4. Step 4: Simplify right side
    7,963,422.75x = 304,371,176,737,050.56
  5. Step 5: Solve for x
    x = 304,371,176,737,050.56/7,963,422.75
  6. Step 6: Final answer
    x = 38,221,150.16

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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.