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Finding the Third Proportional to 7,175,646 and 11,080,737

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Solution

The third proportional to 7,175,646 and 11,080,737 is: 17,111,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175,646 : 11,080,737 = 11,080,737 : x
  2. Step 2: Convert to fraction form
    7,175,646/11,080,737 = 11,080,737/x
  3. Step 3: Cross multiply
    7,175,646x = 11,080,737 × 11,080,737
  4. Step 4: Simplify right side
    7,175,646x = 122,782,732,463,169
  5. Step 5: Solve for x
    x = 122,782,732,463,169/7,175,646
  6. Step 6: Final answer
    x = 17,111,035.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.