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Finding the Third Proportional to 10,356,609,793.50 and 22,329,776,992.50

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Solution

The third proportional to 10,356,609,793.50 and 22,329,776,992.50 is: 48,144,996,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356,609,793.50 : 22,329,776,992.50 = 22,329,776,992.50 : x
  2. Step 2: Convert to fraction form
    10,356,609,793.50/22,329,776,992.50 = 22,329,776,992.50/x
  3. Step 3: Cross multiply
    10,356,609,793.50x = 22,329,776,992.50 × 22,329,776,992.50
  4. Step 4: Simplify right side
    10,356,609,793.50x = 498,618,940,534,782,361,600
  5. Step 5: Solve for x
    x = 498,618,940,534,782,361,600/10,356,609,793.50
  6. Step 6: Final answer
    x = 48,144,996,333.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.