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Finding the Third Proportional to 11,580,200 and 24,466,768

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Solution

The third proportional to 11,580,200 and 24,466,768 is: 51,693,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580,200 : 24,466,768 = 24,466,768 : x
  2. Step 2: Convert to fraction form
    11,580,200/24,466,768 = 24,466,768/x
  3. Step 3: Cross multiply
    11,580,200x = 24,466,768 × 24,466,768
  4. Step 4: Simplify right side
    11,580,200x = 598,622,736,365,824
  5. Step 5: Solve for x
    x = 598,622,736,365,824/11,580,200
  6. Step 6: Final answer
    x = 51,693,644.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.