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Finding the Third Proportional to 7,071,900 and 15,270,672

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Solution

The third proportional to 7,071,900 and 15,270,672 is: 32,974,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,900 : 15,270,672 = 15,270,672 : x
  2. Step 2: Convert to fraction form
    7,071,900/15,270,672 = 15,270,672/x
  3. Step 3: Cross multiply
    7,071,900x = 15,270,672 × 15,270,672
  4. Step 4: Simplify right side
    7,071,900x = 233,193,423,331,584
  5. Step 5: Solve for x
    x = 233,193,423,331,584/7,071,900
  6. Step 6: Final answer
    x = 32,974,649.43

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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.