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Finding the Third Proportional to 55,431,712 and 120,936,512

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Solution

The third proportional to 55,431,712 and 120,936,512 is: 263,849,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431,712 : 120,936,512 = 120,936,512 : x
  2. Step 2: Convert to fraction form
    55,431,712/120,936,512 = 120,936,512/x
  3. Step 3: Cross multiply
    55,431,712x = 120,936,512 × 120,936,512
  4. Step 4: Simplify right side
    55,431,712x = 14,625,639,934,726,144
  5. Step 5: Solve for x
    x = 14,625,639,934,726,144/55,431,712
  6. Step 6: Final answer
    x = 263,849,688.33

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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.