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Finding the Third Proportional to 1,617,313,124 and 2,311,177,881

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Solution

The third proportional to 1,617,313,124 and 2,311,177,881 is: 3,302,726,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,313,124 : 2,311,177,881 = 2,311,177,881 : x
  2. Step 2: Convert to fraction form
    1,617,313,124/2,311,177,881 = 2,311,177,881/x
  3. Step 3: Cross multiply
    1,617,313,124x = 2,311,177,881 × 2,311,177,881
  4. Step 4: Simplify right side
    1,617,313,124x = 5,341,543,197,623,650,304
  5. Step 5: Solve for x
    x = 5,341,543,197,623,650,304/1,617,313,124
  6. Step 6: Final answer
    x = 3,302,726,675.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.