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Finding the Third Proportional to 13,895,743 and 30,618,526

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Solution

The third proportional to 13,895,743 and 30,618,526 is: 67,466,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895,743 : 30,618,526 = 30,618,526 : x
  2. Step 2: Convert to fraction form
    13,895,743/30,618,526 = 30,618,526/x
  3. Step 3: Cross multiply
    13,895,743x = 30,618,526 × 30,618,526
  4. Step 4: Simplify right side
    13,895,743x = 937,494,134,412,676
  5. Step 5: Solve for x
    x = 937,494,134,412,676/13,895,743
  6. Step 6: Final answer
    x = 67,466,283.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.