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Finding the Third Proportional to 54,418,896 and 119,453,328

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Solution

The third proportional to 54,418,896 and 119,453,328 is: 262,208,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,418,896 : 119,453,328 = 119,453,328 : x
  2. Step 2: Convert to fraction form
    54,418,896/119,453,328 = 119,453,328/x
  3. Step 3: Cross multiply
    54,418,896x = 119,453,328 × 119,453,328
  4. Step 4: Simplify right side
    54,418,896x = 14,269,097,570,275,584
  5. Step 5: Solve for x
    x = 14,269,097,570,275,584/54,418,896
  6. Step 6: Final answer
    x = 262,208,508.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.