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Finding the Third Proportional to 55,374,344 and 120,712,660

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Solution

The third proportional to 55,374,344 and 120,712,660 is: 263,146,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,374,344 : 120,712,660 = 120,712,660 : x
  2. Step 2: Convert to fraction form
    55,374,344/120,712,660 = 120,712,660/x
  3. Step 3: Cross multiply
    55,374,344x = 120,712,660 × 120,712,660
  4. Step 4: Simplify right side
    55,374,344x = 14,571,546,284,275,600
  5. Step 5: Solve for x
    x = 14,571,546,284,275,600/55,374,344
  6. Step 6: Final answer
    x = 263,146,165.38

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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.