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Finding the Third Proportional to 1,017,716,026 and 2,204,424,976

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Solution

The third proportional to 1,017,716,026 and 2,204,424,976 is: 4,774,897,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,716,026 : 2,204,424,976 = 2,204,424,976 : x
  2. Step 2: Convert to fraction form
    1,017,716,026/2,204,424,976 = 2,204,424,976/x
  3. Step 3: Cross multiply
    1,017,716,026x = 2,204,424,976 × 2,204,424,976
  4. Step 4: Simplify right side
    1,017,716,026x = 4,859,489,474,812,600,320
  5. Step 5: Solve for x
    x = 4,859,489,474,812,600,320/1,017,716,026
  6. Step 6: Final answer
    x = 4,774,897,270.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.