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Finding the Third Proportional to 893,553,160,828.50 and 1,253,831,972,190.80

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Solution

The third proportional to 893,553,160,828.50 and 1,253,831,972,190.80 is: 1,759,374,465,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,553,160,828.50 : 1,253,831,972,190.80 = 1,253,831,972,190.80 : x
  2. Step 2: Convert to fraction form
    893,553,160,828.50/1,253,831,972,190.80 = 1,253,831,972,190.80/x
  3. Step 3: Cross multiply
    893,553,160,828.50x = 1,253,831,972,190.80 × 1,253,831,972,190.80
  4. Step 4: Simplify right side
    893,553,160,828.50x = 1,572,094,614,487,871,084,560,384
  5. Step 5: Solve for x
    x = 1,572,094,614,487,871,084,560,384/893,553,160,828.50
  6. Step 6: Final answer
    x = 1,759,374,465,230.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.