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Finding the Third Proportional to 3,609,722,892.75 and 7,716,217,179.94

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Solution

The third proportional to 3,609,722,892.75 and 7,716,217,179.94 is: 16,494,343,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609,722,892.75 : 7,716,217,179.94 = 7,716,217,179.94 : x
  2. Step 2: Convert to fraction form
    3,609,722,892.75/7,716,217,179.94 = 7,716,217,179.94/x
  3. Step 3: Cross multiply
    3,609,722,892.75x = 7,716,217,179.94 × 7,716,217,179.94
  4. Step 4: Simplify right side
    3,609,722,892.75x = 59,540,007,567,962,628,096
  5. Step 5: Solve for x
    x = 59,540,007,567,962,628,096/3,609,722,892.75
  6. Step 6: Final answer
    x = 16,494,343,011.08

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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.