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Finding the Third Proportional to 5,338,305 and 12,596,436

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Solution

The third proportional to 5,338,305 and 12,596,436 is: 29,722,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,305 : 12,596,436 = 12,596,436 : x
  2. Step 2: Convert to fraction form
    5,338,305/12,596,436 = 12,596,436/x
  3. Step 3: Cross multiply
    5,338,305x = 12,596,436 × 12,596,436
  4. Step 4: Simplify right side
    5,338,305x = 158,670,199,902,096
  5. Step 5: Solve for x
    x = 158,670,199,902,096/5,338,305
  6. Step 6: Final answer
    x = 29,722,955.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.