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Finding the Third Proportional to 205,321,407 and 427,627,056

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Solution

The third proportional to 205,321,407 and 427,627,056 is: 890,627,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,321,407 : 427,627,056 = 427,627,056 : x
  2. Step 2: Convert to fraction form
    205,321,407/427,627,056 = 427,627,056/x
  3. Step 3: Cross multiply
    205,321,407x = 427,627,056 × 427,627,056
  4. Step 4: Simplify right side
    205,321,407x = 182,864,899,023,227,136
  5. Step 5: Solve for x
    x = 182,864,899,023,227,136/205,321,407
  6. Step 6: Final answer
    x = 890,627,537.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.