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Finding the Third Proportional to 4,197,874,399 and 9,186,536,318

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Solution

The third proportional to 4,197,874,399 and 9,186,536,318 is: 20,103,614,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,874,399 : 9,186,536,318 = 9,186,536,318 : x
  2. Step 2: Convert to fraction form
    4,197,874,399/9,186,536,318 = 9,186,536,318/x
  3. Step 3: Cross multiply
    4,197,874,399x = 9,186,536,318 × 9,186,536,318
  4. Step 4: Simplify right side
    4,197,874,399x = 84,392,449,521,932,992,512
  5. Step 5: Solve for x
    x = 84,392,449,521,932,992,512/4,197,874,399
  6. Step 6: Final answer
    x = 20,103,614,710.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.