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Finding the Third Proportional to 3,100,901,992 and 4,766,310,600

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Solution

The third proportional to 3,100,901,992 and 4,766,310,600 is: 7,326,164,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,901,992 : 4,766,310,600 = 4,766,310,600 : x
  2. Step 2: Convert to fraction form
    3,100,901,992/4,766,310,600 = 4,766,310,600/x
  3. Step 3: Cross multiply
    3,100,901,992x = 4,766,310,600 × 4,766,310,600
  4. Step 4: Simplify right side
    3,100,901,992x = 22,717,716,735,672,360,960
  5. Step 5: Solve for x
    x = 22,717,716,735,672,360,960/3,100,901,992
  6. Step 6: Final answer
    x = 7,326,164,062.68

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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.