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Finding the Third Proportional to 34,082,176 and 53,976,579

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Solution

The third proportional to 34,082,176 and 53,976,579 is: 85,483,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082,176 : 53,976,579 = 53,976,579 : x
  2. Step 2: Convert to fraction form
    34,082,176/53,976,579 = 53,976,579/x
  3. Step 3: Cross multiply
    34,082,176x = 53,976,579 × 53,976,579
  4. Step 4: Simplify right side
    34,082,176x = 2,913,471,080,543,241
  5. Step 5: Solve for x
    x = 2,913,471,080,543,241/34,082,176
  6. Step 6: Final answer
    x = 85,483,716.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.