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Finding the Third Proportional to 31,958,571 and 69,024,786

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Solution

The third proportional to 31,958,571 and 69,024,786 is: 149,081,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958,571 : 69,024,786 = 69,024,786 : x
  2. Step 2: Convert to fraction form
    31,958,571/69,024,786 = 69,024,786/x
  3. Step 3: Cross multiply
    31,958,571x = 69,024,786 × 69,024,786
  4. Step 4: Simplify right side
    31,958,571x = 4,764,421,082,345,796
  5. Step 5: Solve for x
    x = 4,764,421,082,345,796/31,958,571
  6. Step 6: Final answer
    x = 149,081,167.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.