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Finding the Third Proportional to 3,512,304,902 and 7,584,410,294

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Solution

The third proportional to 3,512,304,902 and 7,584,410,294 is: 16,377,644,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,304,902 : 7,584,410,294 = 7,584,410,294 : x
  2. Step 2: Convert to fraction form
    3,512,304,902/7,584,410,294 = 7,584,410,294/x
  3. Step 3: Cross multiply
    3,512,304,902x = 7,584,410,294 × 7,584,410,294
  4. Step 4: Simplify right side
    3,512,304,902x = 57,523,279,507,733,168,128
  5. Step 5: Solve for x
    x = 57,523,279,507,733,168,128/3,512,304,902
  6. Step 6: Final answer
    x = 16,377,644,057.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.