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Finding the Third Proportional to 3,103,213,038 and 4,650,257,961

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Solution

The third proportional to 3,103,213,038 and 4,650,257,961 is: 6,968,551,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103,213,038 : 4,650,257,961 = 4,650,257,961 : x
  2. Step 2: Convert to fraction form
    3,103,213,038/4,650,257,961 = 4,650,257,961/x
  3. Step 3: Cross multiply
    3,103,213,038x = 4,650,257,961 × 4,650,257,961
  4. Step 4: Simplify right side
    3,103,213,038x = 21,624,899,103,843,876,864
  5. Step 5: Solve for x
    x = 21,624,899,103,843,876,864/3,103,213,038
  6. Step 6: Final answer
    x = 6,968,551,252.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.