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Finding the Third Proportional to 5,971,884 and 12,725,985

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Solution

The third proportional to 5,971,884 and 12,725,985 is: 27,118,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,884 : 12,725,985 = 12,725,985 : x
  2. Step 2: Convert to fraction form
    5,971,884/12,725,985 = 12,725,985/x
  3. Step 3: Cross multiply
    5,971,884x = 12,725,985 × 12,725,985
  4. Step 4: Simplify right side
    5,971,884x = 161,950,694,220,225
  5. Step 5: Solve for x
    x = 161,950,694,220,225/5,971,884
  6. Step 6: Final answer
    x = 27,118,861.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.