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Finding the Third Proportional to 3,367,442,565,591 and 6,913,403,071,671

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Solution

The third proportional to 3,367,442,565,591 and 6,913,403,071,671 is: 14,193,305,780,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367,442,565,591 : 6,913,403,071,671 = 6,913,403,071,671 : x
  2. Step 2: Convert to fraction form
    3,367,442,565,591/6,913,403,071,671 = 6,913,403,071,671/x
  3. Step 3: Cross multiply
    3,367,442,565,591x = 6,913,403,071,671 × 6,913,403,071,671
  4. Step 4: Simplify right side
    3,367,442,565,591x = 47,795,142,031,390,018,608,562,176
  5. Step 5: Solve for x
    x = 47,795,142,031,390,018,608,562,176/3,367,442,565,591
  6. Step 6: Final answer
    x = 14,193,305,780,406.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.