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Finding the Third Proportional to 17,680,900 and 27,302,406

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Solution

The third proportional to 17,680,900 and 27,302,406 is: 42,159,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680,900 : 27,302,406 = 27,302,406 : x
  2. Step 2: Convert to fraction form
    17,680,900/27,302,406 = 27,302,406/x
  3. Step 3: Cross multiply
    17,680,900x = 27,302,406 × 27,302,406
  4. Step 4: Simplify right side
    17,680,900x = 745,421,373,388,836
  5. Step 5: Solve for x
    x = 745,421,373,388,836/17,680,900
  6. Step 6: Final answer
    x = 42,159,696.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.