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Finding the Third Proportional to 5,709,204 and 8,349,444

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Solution

The third proportional to 5,709,204 and 8,349,444 is: 12,210,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,204 : 8,349,444 = 8,349,444 : x
  2. Step 2: Convert to fraction form
    5,709,204/8,349,444 = 8,349,444/x
  3. Step 3: Cross multiply
    5,709,204x = 8,349,444 × 8,349,444
  4. Step 4: Simplify right side
    5,709,204x = 69,713,215,109,136
  5. Step 5: Solve for x
    x = 69,713,215,109,136/5,709,204
  6. Step 6: Final answer
    x = 12,210,671.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.