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Finding the Third Proportional to 675,261,639 and 1,463,244,966

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Solution

The third proportional to 675,261,639 and 1,463,244,966 is: 3,170,749,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,261,639 : 1,463,244,966 = 1,463,244,966 : x
  2. Step 2: Convert to fraction form
    675,261,639/1,463,244,966 = 1,463,244,966/x
  3. Step 3: Cross multiply
    675,261,639x = 1,463,244,966 × 1,463,244,966
  4. Step 4: Simplify right side
    675,261,639x = 2,141,085,830,524,341,248
  5. Step 5: Solve for x
    x = 2,141,085,830,524,341,248/675,261,639
  6. Step 6: Final answer
    x = 3,170,749,983.21

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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.