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Finding the Third Proportional to 4,736,676 and 10,418,136

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Solution

The third proportional to 4,736,676 and 10,418,136 is: 22,914,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736,676 : 10,418,136 = 10,418,136 : x
  2. Step 2: Convert to fraction form
    4,736,676/10,418,136 = 10,418,136/x
  3. Step 3: Cross multiply
    4,736,676x = 10,418,136 × 10,418,136
  4. Step 4: Simplify right side
    4,736,676x = 108,537,557,714,496
  5. Step 5: Solve for x
    x = 108,537,557,714,496/4,736,676
  6. Step 6: Final answer
    x = 22,914,287.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.