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Finding the Third Proportional to 1,424,792,116 and 2,179,561,002

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Solution

The third proportional to 1,424,792,116 and 2,179,561,002 is: 3,334,160,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,792,116 : 2,179,561,002 = 2,179,561,002 : x
  2. Step 2: Convert to fraction form
    1,424,792,116/2,179,561,002 = 2,179,561,002/x
  3. Step 3: Cross multiply
    1,424,792,116x = 2,179,561,002 × 2,179,561,002
  4. Step 4: Simplify right side
    1,424,792,116x = 4,750,486,161,439,244,288
  5. Step 5: Solve for x
    x = 4,750,486,161,439,244,288/1,424,792,116
  6. Step 6: Final answer
    x = 3,334,160,898.35

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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.