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Finding the Third Proportional to 32,971,686 and 50,436,639

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Solution

The third proportional to 32,971,686 and 50,436,639 is: 77,152,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971,686 : 50,436,639 = 50,436,639 : x
  2. Step 2: Convert to fraction form
    32,971,686/50,436,639 = 50,436,639/x
  3. Step 3: Cross multiply
    32,971,686x = 50,436,639 × 50,436,639
  4. Step 4: Simplify right side
    32,971,686x = 2,543,854,553,616,321
  5. Step 5: Solve for x
    x = 2,543,854,553,616,321/32,971,686
  6. Step 6: Final answer
    x = 77,152,698.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.