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Finding the Third Proportional to 75,276,016 and 163,297,760

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Solution

The third proportional to 75,276,016 and 163,297,760 is: 354,245,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276,016 : 163,297,760 = 163,297,760 : x
  2. Step 2: Convert to fraction form
    75,276,016/163,297,760 = 163,297,760/x
  3. Step 3: Cross multiply
    75,276,016x = 163,297,760 × 163,297,760
  4. Step 4: Simplify right side
    75,276,016x = 26,666,158,421,017,600
  5. Step 5: Solve for x
    x = 26,666,158,421,017,600/75,276,016
  6. Step 6: Final answer
    x = 354,245,081.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.