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Finding the Third Proportional to 162,861,569 and 354,986,818

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Solution

The third proportional to 162,861,569 and 354,986,818 is: 773,759,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,861,569 : 354,986,818 = 354,986,818 : x
  2. Step 2: Convert to fraction form
    162,861,569/354,986,818 = 354,986,818/x
  3. Step 3: Cross multiply
    162,861,569x = 354,986,818 × 354,986,818
  4. Step 4: Simplify right side
    162,861,569x = 126,015,640,953,765,120
  5. Step 5: Solve for x
    x = 126,015,640,953,765,120/162,861,569
  6. Step 6: Final answer
    x = 773,759,222.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.