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Finding the Third Proportional to 778,362,610 and 1,253,420,166

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Solution

The third proportional to 778,362,610 and 1,253,420,166 is: 2,018,419,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,362,610 : 1,253,420,166 = 1,253,420,166 : x
  2. Step 2: Convert to fraction form
    778,362,610/1,253,420,166 = 1,253,420,166/x
  3. Step 3: Cross multiply
    778,362,610x = 1,253,420,166 × 1,253,420,166
  4. Step 4: Simplify right side
    778,362,610x = 1,571,062,112,535,467,520
  5. Step 5: Solve for x
    x = 1,571,062,112,535,467,520/778,362,610
  6. Step 6: Final answer
    x = 2,018,419,297.58

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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.