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Finding the Third Proportional to 7,204,650 and 15,438,965

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Solution

The third proportional to 7,204,650 and 15,438,965 is: 33,084,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204,650 : 15,438,965 = 15,438,965 : x
  2. Step 2: Convert to fraction form
    7,204,650/15,438,965 = 15,438,965/x
  3. Step 3: Cross multiply
    7,204,650x = 15,438,965 × 15,438,965
  4. Step 4: Simplify right side
    7,204,650x = 238,361,640,271,225
  5. Step 5: Solve for x
    x = 238,361,640,271,225/7,204,650
  6. Step 6: Final answer
    x = 33,084,416.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.