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Finding the Third Proportional to 4,155,474,175,008 and 8,936,332,924,272

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Solution

The third proportional to 4,155,474,175,008 and 8,936,332,924,272 is: 19,217,553,225,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155,474,175,008 : 8,936,332,924,272 = 8,936,332,924,272 : x
  2. Step 2: Convert to fraction form
    4,155,474,175,008/8,936,332,924,272 = 8,936,332,924,272/x
  3. Step 3: Cross multiply
    4,155,474,175,008x = 8,936,332,924,272 × 8,936,332,924,272
  4. Step 4: Simplify right side
    4,155,474,175,008x = 79,858,046,133,427,759,375,974,400
  5. Step 5: Solve for x
    x = 79,858,046,133,427,759,375,974,400/4,155,474,175,008
  6. Step 6: Final answer
    x = 19,217,553,225,023.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.