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Finding the Third Proportional to 7,193,093 and 15,409,609

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Solution

The third proportional to 7,193,093 and 15,409,609 is: 33,011,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193,093 : 15,409,609 = 15,409,609 : x
  2. Step 2: Convert to fraction form
    7,193,093/15,409,609 = 15,409,609/x
  3. Step 3: Cross multiply
    7,193,093x = 15,409,609 × 15,409,609
  4. Step 4: Simplify right side
    7,193,093x = 237,456,049,532,881
  5. Step 5: Solve for x
    x = 237,456,049,532,881/7,193,093
  6. Step 6: Final answer
    x = 33,011,675.16

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Why These Related Problems?

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