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Finding the Third Proportional to 5,446,061 and 11,732,377

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Solution

The third proportional to 5,446,061 and 11,732,377 is: 25,274,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446,061 : 11,732,377 = 11,732,377 : x
  2. Step 2: Convert to fraction form
    5,446,061/11,732,377 = 11,732,377/x
  3. Step 3: Cross multiply
    5,446,061x = 11,732,377 × 11,732,377
  4. Step 4: Simplify right side
    5,446,061x = 137,648,670,070,129
  5. Step 5: Solve for x
    x = 137,648,670,070,129/5,446,061
  6. Step 6: Final answer
    x = 25,274,904.21

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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.