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Finding the Third Proportional to 3,100,901,717.25 and 4,766,310,165.38

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Solution

The third proportional to 3,100,901,717.25 and 4,766,310,165.38 is: 7,326,163,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,901,717.25 : 4,766,310,165.38 = 4,766,310,165.38 : x
  2. Step 2: Convert to fraction form
    3,100,901,717.25/4,766,310,165.38 = 4,766,310,165.38/x
  3. Step 3: Cross multiply
    3,100,901,717.25x = 4,766,310,165.38 × 4,766,310,165.38
  4. Step 4: Simplify right side
    3,100,901,717.25x = 22,717,712,592,557,060,096
  5. Step 5: Solve for x
    x = 22,717,712,592,557,060,096/3,100,901,717.25
  6. Step 6: Final answer
    x = 7,326,163,375.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.