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Finding the Third Proportional to 14,591,511,234 and 29,589,048,414

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Solution

The third proportional to 14,591,511,234 and 29,589,048,414 is: 60,001,446,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591,511,234 : 29,589,048,414 = 29,589,048,414 : x
  2. Step 2: Convert to fraction form
    14,591,511,234/29,589,048,414 = 29,589,048,414/x
  3. Step 3: Cross multiply
    14,591,511,234x = 29,589,048,414 × 29,589,048,414
  4. Step 4: Simplify right side
    14,591,511,234x = 875,511,786,046,035,853,312
  5. Step 5: Solve for x
    x = 875,511,786,046,035,853,312/14,591,511,234
  6. Step 6: Final answer
    x = 60,001,446,869.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.