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Finding the Third Proportional to 9,833,296 and 15,425,526

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Solution

The third proportional to 9,833,296 and 15,425,526 is: 24,198,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,296 : 15,425,526 = 15,425,526 : x
  2. Step 2: Convert to fraction form
    9,833,296/15,425,526 = 15,425,526/x
  3. Step 3: Cross multiply
    9,833,296x = 15,425,526 × 15,425,526
  4. Step 4: Simplify right side
    9,833,296x = 237,946,852,376,676
  5. Step 5: Solve for x
    x = 237,946,852,376,676/9,833,296
  6. Step 6: Final answer
    x = 24,198,076.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.