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Finding the Third Proportional to 5,236,835,055 and 7,847,592,156

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Solution

The third proportional to 5,236,835,055 and 7,847,592,156 is: 11,759,908,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236,835,055 : 7,847,592,156 = 7,847,592,156 : x
  2. Step 2: Convert to fraction form
    5,236,835,055/7,847,592,156 = 7,847,592,156/x
  3. Step 3: Cross multiply
    5,236,835,055x = 7,847,592,156 × 7,847,592,156
  4. Step 4: Simplify right side
    5,236,835,055x = 61,584,702,646,912,729,088
  5. Step 5: Solve for x
    x = 61,584,702,646,912,729,088/5,236,835,055
  6. Step 6: Final answer
    x = 11,759,908,799.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.