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Finding the Third Proportional to 5,338,971 and 12,597,813

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Solution

The third proportional to 5,338,971 and 12,597,813 is: 29,725,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,971 : 12,597,813 = 12,597,813 : x
  2. Step 2: Convert to fraction form
    5,338,971/12,597,813 = 12,597,813/x
  3. Step 3: Cross multiply
    5,338,971x = 12,597,813 × 12,597,813
  4. Step 4: Simplify right side
    5,338,971x = 158,704,892,382,969
  5. Step 5: Solve for x
    x = 158,704,892,382,969/5,338,971
  6. Step 6: Final answer
    x = 29,725,745.35

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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.