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Finding the Third Proportional to 7,071,902 and 15,270,676

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Solution

The third proportional to 7,071,902 and 15,270,676 is: 32,974,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,902 : 15,270,676 = 15,270,676 : x
  2. Step 2: Convert to fraction form
    7,071,902/15,270,676 = 15,270,676/x
  3. Step 3: Cross multiply
    7,071,902x = 15,270,676 × 15,270,676
  4. Step 4: Simplify right side
    7,071,902x = 233,193,545,496,976
  5. Step 5: Solve for x
    x = 233,193,545,496,976/7,071,902
  6. Step 6: Final answer
    x = 32,974,657.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.