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Finding the Third Proportional to 9,198,417 and 19,350,258

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Solution

The third proportional to 9,198,417 and 19,350,258 is: 40,706,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,417 : 19,350,258 = 19,350,258 : x
  2. Step 2: Convert to fraction form
    9,198,417/19,350,258 = 19,350,258/x
  3. Step 3: Cross multiply
    9,198,417x = 19,350,258 × 19,350,258
  4. Step 4: Simplify right side
    9,198,417x = 374,432,484,666,564
  5. Step 5: Solve for x
    x = 374,432,484,666,564/9,198,417
  6. Step 6: Final answer
    x = 40,706,187.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.