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Finding the Third Proportional to 5,966,189,246 and 8,295,511,377

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Solution

The third proportional to 5,966,189,246 and 8,295,511,377 is: 11,534,248,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966,189,246 : 8,295,511,377 = 8,295,511,377 : x
  2. Step 2: Convert to fraction form
    5,966,189,246/8,295,511,377 = 8,295,511,377/x
  3. Step 3: Cross multiply
    5,966,189,246x = 8,295,511,377 × 8,295,511,377
  4. Step 4: Simplify right side
    5,966,189,246x = 68,815,509,005,936,435,200
  5. Step 5: Solve for x
    x = 68,815,509,005,936,435,200/5,966,189,246
  6. Step 6: Final answer
    x = 11,534,248,440.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.