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Finding the Third Proportional to 55,567,998,980 and 119,202,600,968

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Solution

The third proportional to 55,567,998,980 and 119,202,600,968 is: 255,709,407,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,567,998,980 : 119,202,600,968 = 119,202,600,968 : x
  2. Step 2: Convert to fraction form
    55,567,998,980/119,202,600,968 = 119,202,600,968/x
  3. Step 3: Cross multiply
    55,567,998,980x = 119,202,600,968 × 119,202,600,968
  4. Step 4: Simplify right side
    55,567,998,980x = 14,209,260,077,536,235,225,088
  5. Step 5: Solve for x
    x = 14,209,260,077,536,235,225,088/55,567,998,980
  6. Step 6: Final answer
    x = 255,709,407,183.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.