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Finding the Third Proportional to 377,897,251.50 and 828,435,843

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Solution

The third proportional to 377,897,251.50 and 828,435,843 is: 1,816,117,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,897,251.50 : 828,435,843 = 828,435,843 : x
  2. Step 2: Convert to fraction form
    377,897,251.50/828,435,843 = 828,435,843/x
  3. Step 3: Cross multiply
    377,897,251.50x = 828,435,843 × 828,435,843
  4. Step 4: Simplify right side
    377,897,251.50x = 686,305,945,967,120,640
  5. Step 5: Solve for x
    x = 686,305,945,967,120,640/377,897,251.50
  6. Step 6: Final answer
    x = 1,816,117,855.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.