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Finding the Third Proportional to 2,184,924,496 and 3,194,436,000

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Solution

The third proportional to 2,184,924,496 and 3,194,436,000 is: 4,670,377,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,924,496 : 3,194,436,000 = 3,194,436,000 : x
  2. Step 2: Convert to fraction form
    2,184,924,496/3,194,436,000 = 3,194,436,000/x
  3. Step 3: Cross multiply
    2,184,924,496x = 3,194,436,000 × 3,194,436,000
  4. Step 4: Simplify right side
    2,184,924,496x = 10,204,421,358,095,998,976
  5. Step 5: Solve for x
    x = 10,204,421,358,095,998,976/2,184,924,496
  6. Step 6: Final answer
    x = 4,670,377,112.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.