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Finding the Third Proportional to 2,985,491,548 and 6,478,456,520

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Solution

The third proportional to 2,985,491,548 and 6,478,456,520 is: 14,058,120,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985,491,548 : 6,478,456,520 = 6,478,456,520 : x
  2. Step 2: Convert to fraction form
    2,985,491,548/6,478,456,520 = 6,478,456,520/x
  3. Step 3: Cross multiply
    2,985,491,548x = 6,478,456,520 × 6,478,456,520
  4. Step 4: Simplify right side
    2,985,491,548x = 41,970,398,881,530,511,360
  5. Step 5: Solve for x
    x = 41,970,398,881,530,511,360/2,985,491,548
  6. Step 6: Final answer
    x = 14,058,120,147.63

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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.