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Finding the Third Proportional to 5,109,968 and 11,127,136

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Solution

The third proportional to 5,109,968 and 11,127,136 is: 24,229,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,968 : 11,127,136 = 11,127,136 : x
  2. Step 2: Convert to fraction form
    5,109,968/11,127,136 = 11,127,136/x
  3. Step 3: Cross multiply
    5,109,968x = 11,127,136 × 11,127,136
  4. Step 4: Simplify right side
    5,109,968x = 123,813,155,562,496
  5. Step 5: Solve for x
    x = 123,813,155,562,496/5,109,968
  6. Step 6: Final answer
    x = 24,229,732.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.