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Finding the Third Proportional to 7,982,466 and 17,510,148

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Solution

The third proportional to 7,982,466 and 17,510,148 is: 38,409,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982,466 : 17,510,148 = 17,510,148 : x
  2. Step 2: Convert to fraction form
    7,982,466/17,510,148 = 17,510,148/x
  3. Step 3: Cross multiply
    7,982,466x = 17,510,148 × 17,510,148
  4. Step 4: Simplify right side
    7,982,466x = 306,605,282,981,904
  5. Step 5: Solve for x
    x = 306,605,282,981,904/7,982,466
  6. Step 6: Final answer
    x = 38,409,845.15

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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.