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Finding the Third Proportional to 7,570,633 and 16,419,019

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Solution

The third proportional to 7,570,633 and 16,419,019 is: 35,609,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,633 : 16,419,019 = 16,419,019 : x
  2. Step 2: Convert to fraction form
    7,570,633/16,419,019 = 16,419,019/x
  3. Step 3: Cross multiply
    7,570,633x = 16,419,019 × 16,419,019
  4. Step 4: Simplify right side
    7,570,633x = 269,584,184,922,361
  5. Step 5: Solve for x
    x = 269,584,184,922,361/7,570,633
  6. Step 6: Final answer
    x = 35,609,200.04

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