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Finding the Third Proportional to 51,762,574 and 81,193,174

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Solution

The third proportional to 51,762,574 and 81,193,174 is: 127,357,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762,574 : 81,193,174 = 81,193,174 : x
  2. Step 2: Convert to fraction form
    51,762,574/81,193,174 = 81,193,174/x
  3. Step 3: Cross multiply
    51,762,574x = 81,193,174 × 81,193,174
  4. Step 4: Simplify right side
    51,762,574x = 6,592,331,504,194,276
  5. Step 5: Solve for x
    x = 6,592,331,504,194,276/51,762,574
  6. Step 6: Final answer
    x = 127,357,103.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.