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Finding the Third Proportional to 47,374,149,994.50 and 105,340,483,761

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Solution

The third proportional to 47,374,149,994.50 and 105,340,483,761 is: 234,233,596,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374,149,994.50 : 105,340,483,761 = 105,340,483,761 : x
  2. Step 2: Convert to fraction form
    47,374,149,994.50/105,340,483,761 = 105,340,483,761/x
  3. Step 3: Cross multiply
    47,374,149,994.50x = 105,340,483,761 × 105,340,483,761
  4. Step 4: Simplify right side
    47,374,149,994.50x = 11,096,617,519,001,504,841,728
  5. Step 5: Solve for x
    x = 11,096,617,519,001,504,841,728/47,374,149,994.50
  6. Step 6: Final answer
    x = 234,233,596,176.18

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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.