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Finding the Third Proportional to 11,610,816 and 17,420,598

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Solution

The third proportional to 11,610,816 and 17,420,598 is: 26,137,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610,816 : 17,420,598 = 17,420,598 : x
  2. Step 2: Convert to fraction form
    11,610,816/17,420,598 = 17,420,598/x
  3. Step 3: Cross multiply
    11,610,816x = 17,420,598 × 17,420,598
  4. Step 4: Simplify right side
    11,610,816x = 303,477,234,677,604
  5. Step 5: Solve for x
    x = 303,477,234,677,604/11,610,816
  6. Step 6: Final answer
    x = 26,137,459.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.