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Finding the Third Proportional to 547,264,903 and 848,109,921

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Solution

The third proportional to 547,264,903 and 848,109,921 is: 1,314,336,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,264,903 : 848,109,921 = 848,109,921 : x
  2. Step 2: Convert to fraction form
    547,264,903/848,109,921 = 848,109,921/x
  3. Step 3: Cross multiply
    547,264,903x = 848,109,921 × 848,109,921
  4. Step 4: Simplify right side
    547,264,903x = 719,290,438,098,626,304
  5. Step 5: Solve for x
    x = 719,290,438,098,626,304/547,264,903
  6. Step 6: Final answer
    x = 1,314,336,867.13

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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.