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Finding the Third Proportional to 547,915,752 and 1,278,707,796

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Solution

The third proportional to 547,915,752 and 1,278,707,796 is: 2,984,206,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,915,752 : 1,278,707,796 = 1,278,707,796 : x
  2. Step 2: Convert to fraction form
    547,915,752/1,278,707,796 = 1,278,707,796/x
  3. Step 3: Cross multiply
    547,915,752x = 1,278,707,796 × 1,278,707,796
  4. Step 4: Simplify right side
    547,915,752x = 1,635,093,627,551,177,728
  5. Step 5: Solve for x
    x = 1,635,093,627,551,177,728/547,915,752
  6. Step 6: Final answer
    x = 2,984,206,279.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.