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Finding the Third Proportional to 10,356,609,918 and 22,329,777,268.50

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Solution

The third proportional to 10,356,609,918 and 22,329,777,268.50 is: 48,144,996,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356,609,918 : 22,329,777,268.50 = 22,329,777,268.50 : x
  2. Step 2: Convert to fraction form
    10,356,609,918/22,329,777,268.50 = 22,329,777,268.50/x
  3. Step 3: Cross multiply
    10,356,609,918x = 22,329,777,268.50 × 22,329,777,268.50
  4. Step 4: Simplify right side
    10,356,609,918x = 498,618,952,860,819,324,928
  5. Step 5: Solve for x
    x = 498,618,952,860,819,324,928/10,356,609,918
  6. Step 6: Final answer
    x = 48,144,996,944.82

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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.