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Finding the Third Proportional to 7,071,894 and 15,270,660

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Solution

The third proportional to 7,071,894 and 15,270,660 is: 32,974,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,894 : 15,270,660 = 15,270,660 : x
  2. Step 2: Convert to fraction form
    7,071,894/15,270,660 = 15,270,660/x
  3. Step 3: Cross multiply
    7,071,894x = 15,270,660 × 15,270,660
  4. Step 4: Simplify right side
    7,071,894x = 233,193,056,835,600
  5. Step 5: Solve for x
    x = 233,193,056,835,600/7,071,894
  6. Step 6: Final answer
    x = 32,974,625.59

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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.