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Finding the Third Proportional to 774,261,307 and 1,183,610,308

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Solution

The third proportional to 774,261,307 and 1,183,610,308 is: 1,809,380,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,261,307 : 1,183,610,308 = 1,183,610,308 : x
  2. Step 2: Convert to fraction form
    774,261,307/1,183,610,308 = 1,183,610,308/x
  3. Step 3: Cross multiply
    774,261,307x = 1,183,610,308 × 1,183,610,308
  4. Step 4: Simplify right side
    774,261,307x = 1,400,933,361,203,854,848
  5. Step 5: Solve for x
    x = 1,400,933,361,203,854,848/774,261,307
  6. Step 6: Final answer
    x = 1,809,380,565.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.