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Finding the Third Proportional to 40,148,692,649 and 60,740,251,250

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Solution

The third proportional to 40,148,692,649 and 60,740,251,250 is: 91,892,858,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,148,692,649 : 60,740,251,250 = 60,740,251,250 : x
  2. Step 2: Convert to fraction form
    40,148,692,649/60,740,251,250 = 60,740,251,250/x
  3. Step 3: Cross multiply
    40,148,692,649x = 60,740,251,250 × 60,740,251,250
  4. Step 4: Simplify right side
    40,148,692,649x = 3,689,378,121,913,126,617,088
  5. Step 5: Solve for x
    x = 3,689,378,121,913,126,617,088/40,148,692,649
  6. Step 6: Final answer
    x = 91,892,858,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.