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Finding the Third Proportional to 8,243,136 and 17,858,410

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Solution

The third proportional to 8,243,136 and 17,858,410 is: 38,689,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243,136 : 17,858,410 = 17,858,410 : x
  2. Step 2: Convert to fraction form
    8,243,136/17,858,410 = 17,858,410/x
  3. Step 3: Cross multiply
    8,243,136x = 17,858,410 × 17,858,410
  4. Step 4: Simplify right side
    8,243,136x = 318,922,807,728,100
  5. Step 5: Solve for x
    x = 318,922,807,728,100/8,243,136
  6. Step 6: Final answer
    x = 38,689,499.69

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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.