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Finding the Third Proportional to 2,735,269 and 5,952,164

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Solution

The third proportional to 2,735,269 and 5,952,164 is: 12,952,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,269 : 5,952,164 = 5,952,164 : x
  2. Step 2: Convert to fraction form
    2,735,269/5,952,164 = 5,952,164/x
  3. Step 3: Cross multiply
    2,735,269x = 5,952,164 × 5,952,164
  4. Step 4: Simplify right side
    2,735,269x = 35,428,256,282,896
  5. Step 5: Solve for x
    x = 35,428,256,282,896/2,735,269
  6. Step 6: Final answer
    x = 12,952,384.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.