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Finding the Third Proportional to 22,429,905.75 and 33,607,413

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Solution

The third proportional to 22,429,905.75 and 33,607,413 is: 50,355,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429,905.75 : 33,607,413 = 33,607,413 : x
  2. Step 2: Convert to fraction form
    22,429,905.75/33,607,413 = 33,607,413/x
  3. Step 3: Cross multiply
    22,429,905.75x = 33,607,413 × 33,607,413
  4. Step 4: Simplify right side
    22,429,905.75x = 1,129,458,208,552,569
  5. Step 5: Solve for x
    x = 1,129,458,208,552,569/22,429,905.75
  6. Step 6: Final answer
    x = 50,355,013.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.