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Finding the Third Proportional to 5,121,595,671.75 and 7,682,393,497.50

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Solution

The third proportional to 5,121,595,671.75 and 7,682,393,497.50 is: 11,523,590,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121,595,671.75 : 7,682,393,497.50 = 7,682,393,497.50 : x
  2. Step 2: Convert to fraction form
    5,121,595,671.75/7,682,393,497.50 = 7,682,393,497.50/x
  3. Step 3: Cross multiply
    5,121,595,671.75x = 7,682,393,497.50 × 7,682,393,497.50
  4. Step 4: Simplify right side
    5,121,595,671.75x = 59,019,169,850,430,283,776
  5. Step 5: Solve for x
    x = 59,019,169,850,430,283,776/5,121,595,671.75
  6. Step 6: Final answer
    x = 11,523,590,231.06

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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.