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Finding the Third Proportional to 6,733,830 and 14,413,092

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Solution

The third proportional to 6,733,830 and 14,413,092 is: 30,849,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733,830 : 14,413,092 = 14,413,092 : x
  2. Step 2: Convert to fraction form
    6,733,830/14,413,092 = 14,413,092/x
  3. Step 3: Cross multiply
    6,733,830x = 14,413,092 × 14,413,092
  4. Step 4: Simplify right side
    6,733,830x = 207,737,221,000,464
  5. Step 5: Solve for x
    x = 207,737,221,000,464/6,733,830
  6. Step 6: Final answer
    x = 30,849,786.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.