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Finding the Third Proportional to 10,296,816 and 15,578,085

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Solution

The third proportional to 10,296,816 and 15,578,085 is: 23,568,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,816 : 15,578,085 = 15,578,085 : x
  2. Step 2: Convert to fraction form
    10,296,816/15,578,085 = 15,578,085/x
  3. Step 3: Cross multiply
    10,296,816x = 15,578,085 × 15,578,085
  4. Step 4: Simplify right side
    10,296,816x = 242,676,732,267,225
  5. Step 5: Solve for x
    x = 242,676,732,267,225/10,296,816
  6. Step 6: Final answer
    x = 23,568,133.32

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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.