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Finding the Third Proportional to 547,264,938 and 848,109,972

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Solution

The third proportional to 547,264,938 and 848,109,972 is: 1,314,336,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,264,938 : 848,109,972 = 848,109,972 : x
  2. Step 2: Convert to fraction form
    547,264,938/848,109,972 = 848,109,972/x
  3. Step 3: Cross multiply
    547,264,938x = 848,109,972 × 848,109,972
  4. Step 4: Simplify right side
    547,264,938x = 719,290,524,605,840,768
  5. Step 5: Solve for x
    x = 719,290,524,605,840,768/547,264,938
  6. Step 6: Final answer
    x = 1,314,336,941.14

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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.