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Finding the Third Proportional to 49,238,019 and 77,237,163

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Solution

The third proportional to 49,238,019 and 77,237,163 is: 121,157,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,238,019 : 77,237,163 = 77,237,163 : x
  2. Step 2: Convert to fraction form
    49,238,019/77,237,163 = 77,237,163/x
  3. Step 3: Cross multiply
    49,238,019x = 77,237,163 × 77,237,163
  4. Step 4: Simplify right side
    49,238,019x = 5,965,579,348,288,569
  5. Step 5: Solve for x
    x = 5,965,579,348,288,569/49,238,019
  6. Step 6: Final answer
    x = 121,157,988.67

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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.