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Finding the Third Proportional to 57,424,576 and 86,178,864

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Solution

The third proportional to 57,424,576 and 86,178,864 is: 129,331,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,424,576 : 86,178,864 = 86,178,864 : x
  2. Step 2: Convert to fraction form
    57,424,576/86,178,864 = 86,178,864/x
  3. Step 3: Cross multiply
    57,424,576x = 86,178,864 × 86,178,864
  4. Step 4: Simplify right side
    57,424,576x = 7,426,796,600,330,496
  5. Step 5: Solve for x
    x = 7,426,796,600,330,496/57,424,576
  6. Step 6: Final answer
    x = 129,331,326.72

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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.