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Finding the Third Proportional to 6,381,526 and 13,660,074

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Solution

The third proportional to 6,381,526 and 13,660,074 is: 29,240,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,526 : 13,660,074 = 13,660,074 : x
  2. Step 2: Convert to fraction form
    6,381,526/13,660,074 = 13,660,074/x
  3. Step 3: Cross multiply
    6,381,526x = 13,660,074 × 13,660,074
  4. Step 4: Simplify right side
    6,381,526x = 186,597,621,685,476
  5. Step 5: Solve for x
    x = 186,597,621,685,476/6,381,526
  6. Step 6: Final answer
    x = 29,240,282.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.