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Finding the Third Proportional to 7,639,284 and 10,381,188

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Solution

The third proportional to 7,639,284 and 10,381,188 is: 14,107,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639,284 : 10,381,188 = 10,381,188 : x
  2. Step 2: Convert to fraction form
    7,639,284/10,381,188 = 10,381,188/x
  3. Step 3: Cross multiply
    7,639,284x = 10,381,188 × 10,381,188
  4. Step 4: Simplify right side
    7,639,284x = 107,769,064,291,344
  5. Step 5: Solve for x
    x = 107,769,064,291,344/7,639,284
  6. Step 6: Final answer
    x = 14,107,220.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.