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Finding the Third Proportional to 54,740,817 and 76,530,883.50

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Solution

The third proportional to 54,740,817 and 76,530,883.50 is: 106,994,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740,817 : 76,530,883.50 = 76,530,883.50 : x
  2. Step 2: Convert to fraction form
    54,740,817/76,530,883.50 = 76,530,883.50/x
  3. Step 3: Cross multiply
    54,740,817x = 76,530,883.50 × 76,530,883.50
  4. Step 4: Simplify right side
    54,740,817x = 5,856,976,129,290,572
  5. Step 5: Solve for x
    x = 5,856,976,129,290,572/54,740,817
  6. Step 6: Final answer
    x = 106,994,678.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.