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Finding the Third Proportional to 4,658,164 and 10,136,452

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Solution

The third proportional to 4,658,164 and 10,136,452 is: 22,057,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,164 : 10,136,452 = 10,136,452 : x
  2. Step 2: Convert to fraction form
    4,658,164/10,136,452 = 10,136,452/x
  3. Step 3: Cross multiply
    4,658,164x = 10,136,452 × 10,136,452
  4. Step 4: Simplify right side
    4,658,164x = 102,747,659,148,304
  5. Step 5: Solve for x
    x = 102,747,659,148,304/4,658,164
  6. Step 6: Final answer
    x = 22,057,544.38

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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.