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Finding the Third Proportional to 929,848,248,567 and 1,443,728,676,976.90

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Solution

The third proportional to 929,848,248,567 and 1,443,728,676,976.90 is: 2,241,605,010,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,848,248,567 : 1,443,728,676,976.90 = 1,443,728,676,976.90 : x
  2. Step 2: Convert to fraction form
    929,848,248,567/1,443,728,676,976.90 = 1,443,728,676,976.90/x
  3. Step 3: Cross multiply
    929,848,248,567x = 1,443,728,676,976.90 × 1,443,728,676,976.90
  4. Step 4: Simplify right side
    929,848,248,567x = 2,084,352,492,725,469,813,145,600
  5. Step 5: Solve for x
    x = 2,084,352,492,725,469,813,145,600/929,848,248,567
  6. Step 6: Final answer
    x = 2,241,605,010,212.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.