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Finding the Third Proportional to 4,318,125,132 and 6,634,322,013

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Solution

The third proportional to 4,318,125,132 and 6,634,322,013 is: 10,192,902,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,125,132 : 6,634,322,013 = 6,634,322,013 : x
  2. Step 2: Convert to fraction form
    4,318,125,132/6,634,322,013 = 6,634,322,013/x
  3. Step 3: Cross multiply
    4,318,125,132x = 6,634,322,013 × 6,634,322,013
  4. Step 4: Simplify right side
    4,318,125,132x = 44,014,228,572,176,375,808
  5. Step 5: Solve for x
    x = 44,014,228,572,176,375,808/4,318,125,132
  6. Step 6: Final answer
    x = 10,192,902,527.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.