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Finding the Third Proportional to 8,033,284 and 17,658,704

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Solution

The third proportional to 8,033,284 and 17,658,704 is: 38,817,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033,284 : 17,658,704 = 17,658,704 : x
  2. Step 2: Convert to fraction form
    8,033,284/17,658,704 = 17,658,704/x
  3. Step 3: Cross multiply
    8,033,284x = 17,658,704 × 17,658,704
  4. Step 4: Simplify right side
    8,033,284x = 311,829,826,959,616
  5. Step 5: Solve for x
    x = 311,829,826,959,616/8,033,284
  6. Step 6: Final answer
    x = 38,817,229.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.