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Finding the Third Proportional to 10,296,812 and 15,578,079

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Solution

The third proportional to 10,296,812 and 15,578,079 is: 23,568,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,812 : 15,578,079 = 15,578,079 : x
  2. Step 2: Convert to fraction form
    10,296,812/15,578,079 = 15,578,079/x
  3. Step 3: Cross multiply
    10,296,812x = 15,578,079 × 15,578,079
  4. Step 4: Simplify right side
    10,296,812x = 242,676,545,330,241
  5. Step 5: Solve for x
    x = 242,676,545,330,241/10,296,812
  6. Step 6: Final answer
    x = 23,568,124.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.