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Finding the Third Proportional to 2,989,269,801 and 6,422,156,862

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Solution

The third proportional to 2,989,269,801 and 6,422,156,862 is: 13,797,382,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,269,801 : 6,422,156,862 = 6,422,156,862 : x
  2. Step 2: Convert to fraction form
    2,989,269,801/6,422,156,862 = 6,422,156,862/x
  3. Step 3: Cross multiply
    2,989,269,801x = 6,422,156,862 × 6,422,156,862
  4. Step 4: Simplify right side
    2,989,269,801x = 41,244,098,760,133,689,344
  5. Step 5: Solve for x
    x = 41,244,098,760,133,689,344/2,989,269,801
  6. Step 6: Final answer
    x = 13,797,382,473.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.