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Finding the Third Proportional to 33,144,644.25 and 78,131,143.13

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Solution

The third proportional to 33,144,644.25 and 78,131,143.13 is: 184,176,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144,644.25 : 78,131,143.13 = 78,131,143.13 : x
  2. Step 2: Convert to fraction form
    33,144,644.25/78,131,143.13 = 78,131,143.13/x
  3. Step 3: Cross multiply
    33,144,644.25x = 78,131,143.13 × 78,131,143.13
  4. Step 4: Simplify right side
    33,144,644.25x = 6,104,475,526,019,235
  5. Step 5: Solve for x
    x = 6,104,475,526,019,235/33,144,644.25
  6. Step 6: Final answer
    x = 184,176,830.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.