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Finding the Third Proportional to 3,494,817,959 and 7,508,322,213

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Solution

The third proportional to 3,494,817,959 and 7,508,322,213 is: 16,130,998,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,817,959 : 7,508,322,213 = 7,508,322,213 : x
  2. Step 2: Convert to fraction form
    3,494,817,959/7,508,322,213 = 7,508,322,213/x
  3. Step 3: Cross multiply
    3,494,817,959x = 7,508,322,213 × 7,508,322,213
  4. Step 4: Simplify right side
    3,494,817,959x = 56,374,902,454,229,221,376
  5. Step 5: Solve for x
    x = 56,374,902,454,229,221,376/3,494,817,959
  6. Step 6: Final answer
    x = 16,130,998,271.04

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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.