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Finding the Third Proportional to 6,898,728 and 14,512,514

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Solution

The third proportional to 6,898,728 and 14,512,514 is: 30,529,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,728 : 14,512,514 = 14,512,514 : x
  2. Step 2: Convert to fraction form
    6,898,728/14,512,514 = 14,512,514/x
  3. Step 3: Cross multiply
    6,898,728x = 14,512,514 × 14,512,514
  4. Step 4: Simplify right side
    6,898,728x = 210,613,062,600,196
  5. Step 5: Solve for x
    x = 210,613,062,600,196/6,898,728
  6. Step 6: Final answer
    x = 30,529,260.26

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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.