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Finding the Third Proportional to 6,514,916 and 14,039,610

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Solution

The third proportional to 6,514,916 and 14,039,610 is: 30,255,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,916 : 14,039,610 = 14,039,610 : x
  2. Step 2: Convert to fraction form
    6,514,916/14,039,610 = 14,039,610/x
  3. Step 3: Cross multiply
    6,514,916x = 14,039,610 × 14,039,610
  4. Step 4: Simplify right side
    6,514,916x = 197,110,648,952,100
  5. Step 5: Solve for x
    x = 197,110,648,952,100/6,514,916
  6. Step 6: Final answer
    x = 30,255,286.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.