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Finding the Third Proportional to 3,046,515,977 and 6,633,878,214

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Solution

The third proportional to 3,046,515,977 and 6,633,878,214 is: 14,445,465,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,515,977 : 6,633,878,214 = 6,633,878,214 : x
  2. Step 2: Convert to fraction form
    3,046,515,977/6,633,878,214 = 6,633,878,214/x
  3. Step 3: Cross multiply
    3,046,515,977x = 6,633,878,214 × 6,633,878,214
  4. Step 4: Simplify right side
    3,046,515,977x = 44,008,340,158,183,833,600
  5. Step 5: Solve for x
    x = 44,008,340,158,183,833,600/3,046,515,977
  6. Step 6: Final answer
    x = 14,445,465,078.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.