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Finding the Third Proportional to 3,271,888,134 and 5,181,750,414

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Solution

The third proportional to 3,271,888,134 and 5,181,750,414 is: 8,206,435,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,888,134 : 5,181,750,414 = 5,181,750,414 : x
  2. Step 2: Convert to fraction form
    3,271,888,134/5,181,750,414 = 5,181,750,414/x
  3. Step 3: Cross multiply
    3,271,888,134x = 5,181,750,414 × 5,181,750,414
  4. Step 4: Simplify right side
    3,271,888,134x = 26,850,537,352,989,171,712
  5. Step 5: Solve for x
    x = 26,850,537,352,989,171,712/3,271,888,134
  6. Step 6: Final answer
    x = 8,206,435,016.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.