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Finding the Third Proportional to 84,811,466 and 184,640,924

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Solution

The third proportional to 84,811,466 and 184,640,924 is: 401,977,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811,466 : 184,640,924 = 184,640,924 : x
  2. Step 2: Convert to fraction form
    84,811,466/184,640,924 = 184,640,924/x
  3. Step 3: Cross multiply
    84,811,466x = 184,640,924 × 184,640,924
  4. Step 4: Simplify right side
    84,811,466x = 34,092,270,815,573,776
  5. Step 5: Solve for x
    x = 34,092,270,815,573,776/84,811,466
  6. Step 6: Final answer
    x = 401,977,143.23

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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.