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Finding the Third Proportional to 7,122,654 and 16,796,916

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Solution

The third proportional to 7,122,654 and 16,796,916 is: 39,611,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,654 : 16,796,916 = 16,796,916 : x
  2. Step 2: Convert to fraction form
    7,122,654/16,796,916 = 16,796,916/x
  3. Step 3: Cross multiply
    7,122,654x = 16,796,916 × 16,796,916
  4. Step 4: Simplify right side
    7,122,654x = 282,136,387,111,056
  5. Step 5: Solve for x
    x = 282,136,387,111,056/7,122,654
  6. Step 6: Final answer
    x = 39,611,131.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.