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Finding the Third Proportional to 6,514,602 and 14,313,942

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Solution

The third proportional to 6,514,602 and 14,313,942 is: 31,450,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,602 : 14,313,942 = 14,313,942 : x
  2. Step 2: Convert to fraction form
    6,514,602/14,313,942 = 14,313,942/x
  3. Step 3: Cross multiply
    6,514,602x = 14,313,942 × 14,313,942
  4. Step 4: Simplify right side
    6,514,602x = 204,888,935,579,364
  5. Step 5: Solve for x
    x = 204,888,935,579,364/6,514,602
  6. Step 6: Final answer
    x = 31,450,721.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.