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Finding the Third Proportional to 1,661,012,414 and 3,920,978,584

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Solution

The third proportional to 1,661,012,414 and 3,920,978,584 is: 9,255,844,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,012,414 : 3,920,978,584 = 3,920,978,584 : x
  2. Step 2: Convert to fraction form
    1,661,012,414/3,920,978,584 = 3,920,978,584/x
  3. Step 3: Cross multiply
    1,661,012,414x = 3,920,978,584 × 3,920,978,584
  4. Step 4: Simplify right side
    1,661,012,414x = 15,374,073,056,186,644,480
  5. Step 5: Solve for x
    x = 15,374,073,056,186,644,480/1,661,012,414
  6. Step 6: Final answer
    x = 9,255,844,764.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.