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Finding the Third Proportional to 942,452,991 and 1,518,542,829

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Solution

The third proportional to 942,452,991 and 1,518,542,829 is: 2,446,777,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,452,991 : 1,518,542,829 = 1,518,542,829 : x
  2. Step 2: Convert to fraction form
    942,452,991/1,518,542,829 = 1,518,542,829/x
  3. Step 3: Cross multiply
    942,452,991x = 1,518,542,829 × 1,518,542,829
  4. Step 4: Simplify right side
    942,452,991x = 2,305,972,323,507,323,392
  5. Step 5: Solve for x
    x = 2,305,972,323,507,323,392/942,452,991
  6. Step 6: Final answer
    x = 2,446,777,022.86

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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.