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Finding the Third Proportional to 51,438,460 and 79,576,458

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Solution

The third proportional to 51,438,460 and 79,576,458 is: 123,106,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,438,460 : 79,576,458 = 79,576,458 : x
  2. Step 2: Convert to fraction form
    51,438,460/79,576,458 = 79,576,458/x
  3. Step 3: Cross multiply
    51,438,460x = 79,576,458 × 79,576,458
  4. Step 4: Simplify right side
    51,438,460x = 6,332,412,667,825,764
  5. Step 5: Solve for x
    x = 6,332,412,667,825,764/51,438,460
  6. Step 6: Final answer
    x = 123,106,575.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.