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Finding the Third Proportional to 7,194,126,014 and 10,791,188,289

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Solution

The third proportional to 7,194,126,014 and 10,791,188,289 is: 16,186,781,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,126,014 : 10,791,188,289 = 10,791,188,289 : x
  2. Step 2: Convert to fraction form
    7,194,126,014/10,791,188,289 = 10,791,188,289/x
  3. Step 3: Cross multiply
    7,194,126,014x = 10,791,188,289 × 10,791,188,289
  4. Step 4: Simplify right side
    7,194,126,014x = 116,449,744,688,650,747,904
  5. Step 5: Solve for x
    x = 116,449,744,688,650,747,904/7,194,126,014
  6. Step 6: Final answer
    x = 16,186,781,335.50

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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.