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Finding the Third Proportional to 20,630,883,933 and 30,968,162,213

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Solution

The third proportional to 20,630,883,933 and 30,968,162,213 is: 46,485,020,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630,883,933 : 30,968,162,213 = 30,968,162,213 : x
  2. Step 2: Convert to fraction form
    20,630,883,933/30,968,162,213 = 30,968,162,213/x
  3. Step 3: Cross multiply
    20,630,883,933x = 30,968,162,213 × 30,968,162,213
  4. Step 4: Simplify right side
    20,630,883,933x = 959,027,070,850,681,012,224
  5. Step 5: Solve for x
    x = 959,027,070,850,681,012,224/20,630,883,933
  6. Step 6: Final answer
    x = 46,485,020,901.92

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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.