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Finding the Third Proportional to 34,783,086 and 75,559,647

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Solution

The third proportional to 34,783,086 and 75,559,647 is: 164,138,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783,086 : 75,559,647 = 75,559,647 : x
  2. Step 2: Convert to fraction form
    34,783,086/75,559,647 = 75,559,647/x
  3. Step 3: Cross multiply
    34,783,086x = 75,559,647 × 75,559,647
  4. Step 4: Simplify right side
    34,783,086x = 5,709,260,254,764,609
  5. Step 5: Solve for x
    x = 5,709,260,254,764,609/34,783,086
  6. Step 6: Final answer
    x = 164,138,979.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.