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Finding the Third Proportional to 84,728,092,587 and 184,349,283,258

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Solution

The third proportional to 84,728,092,587 and 184,349,283,258 is: 401,102,600,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728,092,587 : 184,349,283,258 = 184,349,283,258 : x
  2. Step 2: Convert to fraction form
    84,728,092,587/184,349,283,258 = 184,349,283,258/x
  3. Step 3: Cross multiply
    84,728,092,587x = 184,349,283,258 × 184,349,283,258
  4. Step 4: Simplify right side
    84,728,092,587x = 33,984,658,237,738,318,823,424
  5. Step 5: Solve for x
    x = 33,984,658,237,738,318,823,424/84,728,092,587
  6. Step 6: Final answer
    x = 401,102,600,095.03

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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.