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Finding the Third Proportional to 11,768,896 and 25,395,640

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Solution

The third proportional to 11,768,896 and 25,395,640 is: 54,800,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768,896 : 25,395,640 = 25,395,640 : x
  2. Step 2: Convert to fraction form
    11,768,896/25,395,640 = 25,395,640/x
  3. Step 3: Cross multiply
    11,768,896x = 25,395,640 × 25,395,640
  4. Step 4: Simplify right side
    11,768,896x = 644,938,531,009,600
  5. Step 5: Solve for x
    x = 644,938,531,009,600/11,768,896
  6. Step 6: Final answer
    x = 54,800,257.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.