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Finding the Third Proportional to 54,187,029 and 77,244,571.50

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Solution

The third proportional to 54,187,029 and 77,244,571.50 is: 110,113,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,187,029 : 77,244,571.50 = 77,244,571.50 : x
  2. Step 2: Convert to fraction form
    54,187,029/77,244,571.50 = 77,244,571.50/x
  3. Step 3: Cross multiply
    54,187,029x = 77,244,571.50 × 77,244,571.50
  4. Step 4: Simplify right side
    54,187,029x = 5,966,723,826,218,612
  5. Step 5: Solve for x
    x = 5,966,723,826,218,612/54,187,029
  6. Step 6: Final answer
    x = 110,113,507.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.