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Finding the Third Proportional to 8,224,332 and 17,821,560

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Solution

The third proportional to 8,224,332 and 17,821,560 is: 38,618,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,332 : 17,821,560 = 17,821,560 : x
  2. Step 2: Convert to fraction form
    8,224,332/17,821,560 = 17,821,560/x
  3. Step 3: Cross multiply
    8,224,332x = 17,821,560 × 17,821,560
  4. Step 4: Simplify right side
    8,224,332x = 317,608,000,833,600
  5. Step 5: Solve for x
    x = 317,608,000,833,600/8,224,332
  6. Step 6: Final answer
    x = 38,618,090.91

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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.