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Finding the Third Proportional to 547,264,896.75 and 848,109,914.25

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Solution

The third proportional to 547,264,896.75 and 848,109,914.25 is: 1,314,336,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,264,896.75 : 848,109,914.25 = 848,109,914.25 : x
  2. Step 2: Convert to fraction form
    547,264,896.75/848,109,914.25 = 848,109,914.25/x
  3. Step 3: Cross multiply
    547,264,896.75x = 848,109,914.25 × 848,109,914.25
  4. Step 4: Simplify right side
    547,264,896.75x = 719,290,426,649,142,400
  5. Step 5: Solve for x
    x = 719,290,426,649,142,400/547,264,896.75
  6. Step 6: Final answer
    x = 1,314,336,861.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.