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Finding the Third Proportional to 7,982,022 and 17,509,119

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Solution

The third proportional to 7,982,022 and 17,509,119 is: 38,407,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982,022 : 17,509,119 = 17,509,119 : x
  2. Step 2: Convert to fraction form
    7,982,022/17,509,119 = 17,509,119/x
  3. Step 3: Cross multiply
    7,982,022x = 17,509,119 × 17,509,119
  4. Step 4: Simplify right side
    7,982,022x = 306,569,248,156,161
  5. Step 5: Solve for x
    x = 306,569,248,156,161/7,982,022
  6. Step 6: Final answer
    x = 38,407,467.20

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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.