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Finding the Third Proportional to 55,567,998,981 and 119,202,600,970

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Solution

The third proportional to 55,567,998,981 and 119,202,600,970 is: 255,709,407,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,567,998,981 : 119,202,600,970 = 119,202,600,970 : x
  2. Step 2: Convert to fraction form
    55,567,998,981/119,202,600,970 = 119,202,600,970/x
  3. Step 3: Cross multiply
    55,567,998,981x = 119,202,600,970 × 119,202,600,970
  4. Step 4: Simplify right side
    55,567,998,981x = 14,209,260,078,013,045,800,960
  5. Step 5: Solve for x
    x = 14,209,260,078,013,045,800,960/55,567,998,981
  6. Step 6: Final answer
    x = 255,709,407,187.25

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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.