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Finding the Third Proportional to 4,213,768 and 9,100,136

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Solution

The third proportional to 4,213,768 and 9,100,136 is: 19,652,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,768 : 9,100,136 = 9,100,136 : x
  2. Step 2: Convert to fraction form
    4,213,768/9,100,136 = 9,100,136/x
  3. Step 3: Cross multiply
    4,213,768x = 9,100,136 × 9,100,136
  4. Step 4: Simplify right side
    4,213,768x = 82,812,475,218,496
  5. Step 5: Solve for x
    x = 82,812,475,218,496/4,213,768
  6. Step 6: Final answer
    x = 19,652,832.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.