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Finding the Third Proportional to 5,962,525 and 12,869,185

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Solution

The third proportional to 5,962,525 and 12,869,185 is: 27,776,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962,525 : 12,869,185 = 12,869,185 : x
  2. Step 2: Convert to fraction form
    5,962,525/12,869,185 = 12,869,185/x
  3. Step 3: Cross multiply
    5,962,525x = 12,869,185 × 12,869,185
  4. Step 4: Simplify right side
    5,962,525x = 165,615,922,564,225
  5. Step 5: Solve for x
    x = 165,615,922,564,225/5,962,525
  6. Step 6: Final answer
    x = 27,776,138.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.