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Finding the Third Proportional to 2,948,892,008 and 6,335,414,144

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Solution

The third proportional to 2,948,892,008 and 6,335,414,144 is: 13,611,035,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,892,008 : 6,335,414,144 = 6,335,414,144 : x
  2. Step 2: Convert to fraction form
    2,948,892,008/6,335,414,144 = 6,335,414,144/x
  3. Step 3: Cross multiply
    2,948,892,008x = 6,335,414,144 × 6,335,414,144
  4. Step 4: Simplify right side
    2,948,892,008x = 40,137,472,375,995,252,736
  5. Step 5: Solve for x
    x = 40,137,472,375,995,252,736/2,948,892,008
  6. Step 6: Final answer
    x = 13,611,035,014.88

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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.