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Finding the Third Proportional to 55,567,998,976 and 119,202,600,960

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Solution

The third proportional to 55,567,998,976 and 119,202,600,960 is: 255,709,407,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,567,998,976 : 119,202,600,960 = 119,202,600,960 : x
  2. Step 2: Convert to fraction form
    55,567,998,976/119,202,600,960 = 119,202,600,960/x
  3. Step 3: Cross multiply
    55,567,998,976x = 119,202,600,960 × 119,202,600,960
  4. Step 4: Simplify right side
    55,567,998,976x = 14,209,260,075,628,992,921,600
  5. Step 5: Solve for x
    x = 14,209,260,075,628,992,921,600/55,567,998,976
  6. Step 6: Final answer
    x = 255,709,407,167.35

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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.