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Finding the Third Proportional to 47,374,149,991.50 and 105,340,483,755

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Solution

The third proportional to 47,374,149,991.50 and 105,340,483,755 is: 234,233,596,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374,149,991.50 : 105,340,483,755 = 105,340,483,755 : x
  2. Step 2: Convert to fraction form
    47,374,149,991.50/105,340,483,755 = 105,340,483,755/x
  3. Step 3: Cross multiply
    47,374,149,991.50x = 105,340,483,755 × 105,340,483,755
  4. Step 4: Simplify right side
    47,374,149,991.50x = 11,096,617,517,737,419,210,752
  5. Step 5: Solve for x
    x = 11,096,617,517,737,419,210,752/47,374,149,991.50
  6. Step 6: Final answer
    x = 234,233,596,164.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.