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Finding the Third Proportional to 34,520,019 and 74,420,019

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Solution

The third proportional to 34,520,019 and 74,420,019 is: 160,438,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520,019 : 74,420,019 = 74,420,019 : x
  2. Step 2: Convert to fraction form
    34,520,019/74,420,019 = 74,420,019/x
  3. Step 3: Cross multiply
    34,520,019x = 74,420,019 × 74,420,019
  4. Step 4: Simplify right side
    34,520,019x = 5,538,339,227,960,361
  5. Step 5: Solve for x
    x = 5,538,339,227,960,361/34,520,019
  6. Step 6: Final answer
    x = 160,438,475.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.