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Finding the Third Proportional to 7,301,195 and 11,350,026

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Solution

The third proportional to 7,301,195 and 11,350,026 is: 17,644,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301,195 : 11,350,026 = 11,350,026 : x
  2. Step 2: Convert to fraction form
    7,301,195/11,350,026 = 11,350,026/x
  3. Step 3: Cross multiply
    7,301,195x = 11,350,026 × 11,350,026
  4. Step 4: Simplify right side
    7,301,195x = 128,823,090,200,676
  5. Step 5: Solve for x
    x = 128,823,090,200,676/7,301,195
  6. Step 6: Final answer
    x = 17,644,110.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.