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Finding the Third Proportional to 9,449,239,098.94 and 20,246,283,052.88

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Solution

The third proportional to 9,449,239,098.94 and 20,246,283,052.88 is: 43,380,421,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449,239,098.94 : 20,246,283,052.88 = 20,246,283,052.88 : x
  2. Step 2: Convert to fraction form
    9,449,239,098.94/20,246,283,052.88 = 20,246,283,052.88/x
  3. Step 3: Cross multiply
    9,449,239,098.94x = 20,246,283,052.88 × 20,246,283,052.88
  4. Step 4: Simplify right side
    9,449,239,098.94x = 409,911,977,457,133,420,544
  5. Step 5: Solve for x
    x = 409,911,977,457,133,420,544/9,449,239,098.94
  6. Step 6: Final answer
    x = 43,380,421,763.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.