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Finding the Third Proportional to 11,057,774 and 16,501,377

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Solution

The third proportional to 11,057,774 and 16,501,377 is: 24,624,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057,774 : 16,501,377 = 16,501,377 : x
  2. Step 2: Convert to fraction form
    11,057,774/16,501,377 = 16,501,377/x
  3. Step 3: Cross multiply
    11,057,774x = 16,501,377 × 16,501,377
  4. Step 4: Simplify right side
    11,057,774x = 272,295,442,896,129
  5. Step 5: Solve for x
    x = 272,295,442,896,129/11,057,774
  6. Step 6: Final answer
    x = 24,624,797.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.