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Finding the Third Proportional to 547,264,934 and 848,109,965

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Solution

The third proportional to 547,264,934 and 848,109,965 is: 1,314,336,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,264,934 : 848,109,965 = 848,109,965 : x
  2. Step 2: Convert to fraction form
    547,264,934/848,109,965 = 848,109,965/x
  3. Step 3: Cross multiply
    547,264,934x = 848,109,965 × 848,109,965
  4. Step 4: Simplify right side
    547,264,934x = 719,290,512,732,301,184
  5. Step 5: Solve for x
    x = 719,290,512,732,301,184/547,264,934
  6. Step 6: Final answer
    x = 1,314,336,929.05

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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.