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Finding the Third Proportional to 30,701,504 and 66,583,134

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Solution

The third proportional to 30,701,504 and 66,583,134 is: 144,400,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701,504 : 66,583,134 = 66,583,134 : x
  2. Step 2: Convert to fraction form
    30,701,504/66,583,134 = 66,583,134/x
  3. Step 3: Cross multiply
    30,701,504x = 66,583,134 × 66,583,134
  4. Step 4: Simplify right side
    30,701,504x = 4,433,313,733,261,956
  5. Step 5: Solve for x
    x = 4,433,313,733,261,956/30,701,504
  6. Step 6: Final answer
    x = 144,400,539.25

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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.