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Finding the Third Proportional to 5,451,196,434 and 11,832,736,381.50

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Solution

The third proportional to 5,451,196,434 and 11,832,736,381.50 is: 25,684,939,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,196,434 : 11,832,736,381.50 = 11,832,736,381.50 : x
  2. Step 2: Convert to fraction form
    5,451,196,434/11,832,736,381.50 = 11,832,736,381.50/x
  3. Step 3: Cross multiply
    5,451,196,434x = 11,832,736,381.50 × 11,832,736,381.50
  4. Step 4: Simplify right side
    5,451,196,434x = 140,013,650,274,073,706,496
  5. Step 5: Solve for x
    x = 140,013,650,274,073,706,496/5,451,196,434
  6. Step 6: Final answer
    x = 25,684,939,438.39

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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.