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Finding the Third Proportional to 2,925,024 and 6,522,224

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Solution

The third proportional to 2,925,024 and 6,522,224 is: 14,543,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925,024 : 6,522,224 = 6,522,224 : x
  2. Step 2: Convert to fraction form
    2,925,024/6,522,224 = 6,522,224/x
  3. Step 3: Cross multiply
    2,925,024x = 6,522,224 × 6,522,224
  4. Step 4: Simplify right side
    2,925,024x = 42,539,405,906,176
  5. Step 5: Solve for x
    x = 42,539,405,906,176/2,925,024
  6. Step 6: Final answer
    x = 14,543,267.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.