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Finding the Third Proportional to 3,785,984 and 8,214,136

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Solution

The third proportional to 3,785,984 and 8,214,136 is: 17,821,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,984 : 8,214,136 = 8,214,136 : x
  2. Step 2: Convert to fraction form
    3,785,984/8,214,136 = 8,214,136/x
  3. Step 3: Cross multiply
    3,785,984x = 8,214,136 × 8,214,136
  4. Step 4: Simplify right side
    3,785,984x = 67,472,030,226,496
  5. Step 5: Solve for x
    x = 67,472,030,226,496/3,785,984
  6. Step 6: Final answer
    x = 17,821,530.74

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