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Finding the Third Proportional to 5,616,264 and 12,129,136

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Solution

The third proportional to 5,616,264 and 12,129,136 is: 26,194,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616,264 : 12,129,136 = 12,129,136 : x
  2. Step 2: Convert to fraction form
    5,616,264/12,129,136 = 12,129,136/x
  3. Step 3: Cross multiply
    5,616,264x = 12,129,136 × 12,129,136
  4. Step 4: Simplify right side
    5,616,264x = 147,115,940,106,496
  5. Step 5: Solve for x
    x = 147,115,940,106,496/5,616,264
  6. Step 6: Final answer
    x = 26,194,626.91

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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.