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Finding the Third Proportional to 6,410,340 and 9,912,492

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Solution

The third proportional to 6,410,340 and 9,912,492 is: 15,327,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,340 : 9,912,492 = 9,912,492 : x
  2. Step 2: Convert to fraction form
    6,410,340/9,912,492 = 9,912,492/x
  3. Step 3: Cross multiply
    6,410,340x = 9,912,492 × 9,912,492
  4. Step 4: Simplify right side
    6,410,340x = 98,257,497,650,064
  5. Step 5: Solve for x
    x = 98,257,497,650,064/6,410,340
  6. Step 6: Final answer
    x = 15,327,969.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.