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Finding the Third Proportional to 9,149,136 and 19,241,802

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Solution

The third proportional to 9,149,136 and 19,241,802 is: 40,467,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,136 : 19,241,802 = 19,241,802 : x
  2. Step 2: Convert to fraction form
    9,149,136/19,241,802 = 19,241,802/x
  3. Step 3: Cross multiply
    9,149,136x = 19,241,802 × 19,241,802
  4. Step 4: Simplify right side
    9,149,136x = 370,246,944,207,204
  5. Step 5: Solve for x
    x = 370,246,944,207,204/9,149,136
  6. Step 6: Final answer
    x = 40,467,968.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.