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Finding the Third Proportional to 8,119,025 and 17,462,770

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Solution

The third proportional to 8,119,025 and 17,462,770 is: 37,559,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119,025 : 17,462,770 = 17,462,770 : x
  2. Step 2: Convert to fraction form
    8,119,025/17,462,770 = 17,462,770/x
  3. Step 3: Cross multiply
    8,119,025x = 17,462,770 × 17,462,770
  4. Step 4: Simplify right side
    8,119,025x = 304,948,336,072,900
  5. Step 5: Solve for x
    x = 304,948,336,072,900/8,119,025
  6. Step 6: Final answer
    x = 37,559,723.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.