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Finding the Third Proportional to 6,060,596,552 and 14,160,288,193

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Solution

The third proportional to 6,060,596,552 and 14,160,288,193 is: 33,084,822,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,060,596,552 : 14,160,288,193 = 14,160,288,193 : x
  2. Step 2: Convert to fraction form
    6,060,596,552/14,160,288,193 = 14,160,288,193/x
  3. Step 3: Cross multiply
    6,060,596,552x = 14,160,288,193 × 14,160,288,193
  4. Step 4: Simplify right side
    6,060,596,552x = 200,513,761,708,815,220,736
  5. Step 5: Solve for x
    x = 200,513,761,708,815,220,736/6,060,596,552
  6. Step 6: Final answer
    x = 33,084,822,589.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.