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Finding the Third Proportional to 8,224,664.25 and 17,820,806.63

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Solution

The third proportional to 8,224,664.25 and 17,820,806.63 is: 38,613,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,664.25 : 17,820,806.63 = 17,820,806.63 : x
  2. Step 2: Convert to fraction form
    8,224,664.25/17,820,806.63 = 17,820,806.63/x
  3. Step 3: Cross multiply
    8,224,664.25x = 17,820,806.63 × 17,820,806.63
  4. Step 4: Simplify right side
    8,224,664.25x = 317,581,148,765,643.88
  5. Step 5: Solve for x
    x = 317,581,148,765,643.88/8,224,664.25
  6. Step 6: Final answer
    x = 38,613,266.04

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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.