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Finding the Third Proportional to 778,362,722.89 and 1,253,420,334.18

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Solution

The third proportional to 778,362,722.89 and 1,253,420,334.18 is: 2,018,419,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,362,722.89 : 1,253,420,334.18 = 1,253,420,334.18 : x
  2. Step 2: Convert to fraction form
    778,362,722.89/1,253,420,334.18 = 1,253,420,334.18/x
  3. Step 3: Cross multiply
    778,362,722.89x = 1,253,420,334.18 × 1,253,420,334.18
  4. Step 4: Simplify right side
    778,362,722.89x = 1,571,062,534,125,374,464
  5. Step 5: Solve for x
    x = 1,571,062,534,125,374,464/778,362,722.89
  6. Step 6: Final answer
    x = 2,018,419,546.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.