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Finding the Third Proportional to 65,135,201,424 and 141,804,219,972

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Solution

The third proportional to 65,135,201,424 and 141,804,219,972 is: 308,718,425,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135,201,424 : 141,804,219,972 = 141,804,219,972 : x
  2. Step 2: Convert to fraction form
    65,135,201,424/141,804,219,972 = 141,804,219,972/x
  3. Step 3: Cross multiply
    65,135,201,424x = 141,804,219,972 × 141,804,219,972
  4. Step 4: Simplify right side
    65,135,201,424x = 20,108,436,801,867,365,744,640
  5. Step 5: Solve for x
    x = 20,108,436,801,867,365,744,640/65,135,201,424
  6. Step 6: Final answer
    x = 308,718,425,095.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.