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Finding the Third Proportional to 467,893,923 and 1,013,809,410

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Solution

The third proportional to 467,893,923 and 1,013,809,410 is: 2,196,672,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893,923 : 1,013,809,410 = 1,013,809,410 : x
  2. Step 2: Convert to fraction form
    467,893,923/1,013,809,410 = 1,013,809,410/x
  3. Step 3: Cross multiply
    467,893,923x = 1,013,809,410 × 1,013,809,410
  4. Step 4: Simplify right side
    467,893,923x = 1,027,809,519,804,548,096
  5. Step 5: Solve for x
    x = 1,027,809,519,804,548,096/467,893,923
  6. Step 6: Final answer
    x = 2,196,672,085.87

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