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Finding the Third Proportional to 122,801,470 and 268,676,518

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Solution

The third proportional to 122,801,470 and 268,676,518 is: 587,835,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,801,470 : 268,676,518 = 268,676,518 : x
  2. Step 2: Convert to fraction form
    122,801,470/268,676,518 = 268,676,518/x
  3. Step 3: Cross multiply
    122,801,470x = 268,676,518 × 268,676,518
  4. Step 4: Simplify right side
    122,801,470x = 72,187,071,324,604,320
  5. Step 5: Solve for x
    x = 72,187,071,324,604,320/122,801,470
  6. Step 6: Final answer
    x = 587,835,563.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.