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Finding the Third Proportional to 2,352,274 and 5,102,851

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Solution

The third proportional to 2,352,274 and 5,102,851 is: 11,069,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352,274 : 5,102,851 = 5,102,851 : x
  2. Step 2: Convert to fraction form
    2,352,274/5,102,851 = 5,102,851/x
  3. Step 3: Cross multiply
    2,352,274x = 5,102,851 × 5,102,851
  4. Step 4: Simplify right side
    2,352,274x = 26,039,088,328,201
  5. Step 5: Solve for x
    x = 26,039,088,328,201/2,352,274
  6. Step 6: Final answer
    x = 11,069,751.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.