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Finding the Third Proportional to 3,852,160 and 8,296,320

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Solution

The third proportional to 3,852,160 and 8,296,320 is: 17,867,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852,160 : 8,296,320 = 8,296,320 : x
  2. Step 2: Convert to fraction form
    3,852,160/8,296,320 = 8,296,320/x
  3. Step 3: Cross multiply
    3,852,160x = 8,296,320 × 8,296,320
  4. Step 4: Simplify right side
    3,852,160x = 68,828,925,542,400
  5. Step 5: Solve for x
    x = 68,828,925,542,400/3,852,160
  6. Step 6: Final answer
    x = 17,867,618.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.