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Finding the Third Proportional to 36,806,094 and 77,419,737

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Solution

The third proportional to 36,806,094 and 77,419,737 is: 162,848,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806,094 : 77,419,737 = 77,419,737 : x
  2. Step 2: Convert to fraction form
    36,806,094/77,419,737 = 77,419,737/x
  3. Step 3: Cross multiply
    36,806,094x = 77,419,737 × 77,419,737
  4. Step 4: Simplify right side
    36,806,094x = 5,993,815,677,149,169
  5. Step 5: Solve for x
    x = 5,993,815,677,149,169/36,806,094
  6. Step 6: Final answer
    x = 162,848,458.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.