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Finding the Third Proportional to 437,157,843 and 946,957,134

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Solution

The third proportional to 437,157,843 and 946,957,134 is: 2,051,267,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,157,843 : 946,957,134 = 946,957,134 : x
  2. Step 2: Convert to fraction form
    437,157,843/946,957,134 = 946,957,134/x
  3. Step 3: Cross multiply
    437,157,843x = 946,957,134 × 946,957,134
  4. Step 4: Simplify right side
    437,157,843x = 896,727,813,633,494,016
  5. Step 5: Solve for x
    x = 896,727,813,633,494,016/437,157,843
  6. Step 6: Final answer
    x = 2,051,267,815.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.