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Finding the Third Proportional to 59,019,843 and 120,979,014

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Solution

The third proportional to 59,019,843 and 120,979,014 is: 247,983,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,019,843 : 120,979,014 = 120,979,014 : x
  2. Step 2: Convert to fraction form
    59,019,843/120,979,014 = 120,979,014/x
  3. Step 3: Cross multiply
    59,019,843x = 120,979,014 × 120,979,014
  4. Step 4: Simplify right side
    59,019,843x = 14,635,921,828,412,196
  5. Step 5: Solve for x
    x = 14,635,921,828,412,196/59,019,843
  6. Step 6: Final answer
    x = 247,983,069.50

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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.