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Finding the Third Proportional to 5,993,421 and 13,208,538

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Solution

The third proportional to 5,993,421 and 13,208,538 is: 29,109,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993,421 : 13,208,538 = 13,208,538 : x
  2. Step 2: Convert to fraction form
    5,993,421/13,208,538 = 13,208,538/x
  3. Step 3: Cross multiply
    5,993,421x = 13,208,538 × 13,208,538
  4. Step 4: Simplify right side
    5,993,421x = 174,465,476,097,444
  5. Step 5: Solve for x
    x = 174,465,476,097,444/5,993,421
  6. Step 6: Final answer
    x = 29,109,497.91

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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.