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Finding the Third Proportional to 10,603,761,678 and 23,069,226,246

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Solution

The third proportional to 10,603,761,678 and 23,069,226,246 is: 50,188,717,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603,761,678 : 23,069,226,246 = 23,069,226,246 : x
  2. Step 2: Convert to fraction form
    10,603,761,678/23,069,226,246 = 23,069,226,246/x
  3. Step 3: Cross multiply
    10,603,761,678x = 23,069,226,246 × 23,069,226,246
  4. Step 4: Simplify right side
    10,603,761,678x = 532,189,199,589,135,220,736
  5. Step 5: Solve for x
    x = 532,189,199,589,135,220,736/10,603,761,678
  6. Step 6: Final answer
    x = 50,188,717,527.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.