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Finding the Third Proportional to 7,989,798 and 17,474,364

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Solution

The third proportional to 7,989,798 and 17,474,364 is: 38,217,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989,798 : 17,474,364 = 17,474,364 : x
  2. Step 2: Convert to fraction form
    7,989,798/17,474,364 = 17,474,364/x
  3. Step 3: Cross multiply
    7,989,798x = 17,474,364 × 17,474,364
  4. Step 4: Simplify right side
    7,989,798x = 305,353,397,204,496
  5. Step 5: Solve for x
    x = 305,353,397,204,496/7,989,798
  6. Step 6: Final answer
    x = 38,217,912.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.