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Finding the Third Proportional to 8,260,728 and 17,716,290

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Solution

The third proportional to 8,260,728 and 17,716,290 is: 37,995,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,728 : 17,716,290 = 17,716,290 : x
  2. Step 2: Convert to fraction form
    8,260,728/17,716,290 = 17,716,290/x
  3. Step 3: Cross multiply
    8,260,728x = 17,716,290 × 17,716,290
  4. Step 4: Simplify right side
    8,260,728x = 313,866,931,364,100
  5. Step 5: Solve for x
    x = 313,866,931,364,100/8,260,728
  6. Step 6: Final answer
    x = 37,995,069.12

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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.