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Finding the Third Proportional to 7,301,194 and 11,350,022

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Solution

The third proportional to 7,301,194 and 11,350,022 is: 17,644,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301,194 : 11,350,022 = 11,350,022 : x
  2. Step 2: Convert to fraction form
    7,301,194/11,350,022 = 11,350,022/x
  3. Step 3: Cross multiply
    7,301,194x = 11,350,022 × 11,350,022
  4. Step 4: Simplify right side
    7,301,194x = 128,822,999,400,484
  5. Step 5: Solve for x
    x = 128,822,999,400,484/7,301,194
  6. Step 6: Final answer
    x = 17,644,100.32

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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.