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Finding the Third Proportional to 13,943,736 and 30,202,965

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Solution

The third proportional to 13,943,736 and 30,202,965 is: 65,421,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943,736 : 30,202,965 = 30,202,965 : x
  2. Step 2: Convert to fraction form
    13,943,736/30,202,965 = 30,202,965/x
  3. Step 3: Cross multiply
    13,943,736x = 30,202,965 × 30,202,965
  4. Step 4: Simplify right side
    13,943,736x = 912,219,094,791,225
  5. Step 5: Solve for x
    x = 912,219,094,791,225/13,943,736
  6. Step 6: Final answer
    x = 65,421,426.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.