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Finding the Third Proportional to 36,699,138 and 51,433,594

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Solution

The third proportional to 36,699,138 and 51,433,594 is: 72,083,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699,138 : 51,433,594 = 51,433,594 : x
  2. Step 2: Convert to fraction form
    36,699,138/51,433,594 = 51,433,594/x
  3. Step 3: Cross multiply
    36,699,138x = 51,433,594 × 51,433,594
  4. Step 4: Simplify right side
    36,699,138x = 2,645,414,591,756,836
  5. Step 5: Solve for x
    x = 2,645,414,591,756,836/36,699,138
  6. Step 6: Final answer
    x = 72,083,834.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.