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Finding the Third Proportional to 6,385,106 and 14,187,390

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Solution

The third proportional to 6,385,106 and 14,187,390 is: 31,523,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,106 : 14,187,390 = 14,187,390 : x
  2. Step 2: Convert to fraction form
    6,385,106/14,187,390 = 14,187,390/x
  3. Step 3: Cross multiply
    6,385,106x = 14,187,390 × 14,187,390
  4. Step 4: Simplify right side
    6,385,106x = 201,282,035,012,100
  5. Step 5: Solve for x
    x = 201,282,035,012,100/6,385,106
  6. Step 6: Final answer
    x = 31,523,679.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.