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Finding the Third Proportional to 61,735,696 and 90,819,096

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Solution

The third proportional to 61,735,696 and 90,819,096 is: 133,603,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,735,696 : 90,819,096 = 90,819,096 : x
  2. Step 2: Convert to fraction form
    61,735,696/90,819,096 = 90,819,096/x
  3. Step 3: Cross multiply
    61,735,696x = 90,819,096 × 90,819,096
  4. Step 4: Simplify right side
    61,735,696x = 8,248,108,198,257,216
  5. Step 5: Solve for x
    x = 8,248,108,198,257,216/61,735,696
  6. Step 6: Final answer
    x = 133,603,550.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.