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Finding the Third Proportional to 32,382,021 and 70,144,884

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Solution

The third proportional to 32,382,021 and 70,144,884 is: 151,945,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382,021 : 70,144,884 = 70,144,884 : x
  2. Step 2: Convert to fraction form
    32,382,021/70,144,884 = 70,144,884/x
  3. Step 3: Cross multiply
    32,382,021x = 70,144,884 × 70,144,884
  4. Step 4: Simplify right side
    32,382,021x = 4,920,304,751,373,456
  5. Step 5: Solve for x
    x = 4,920,304,751,373,456/32,382,021
  6. Step 6: Final answer
    x = 151,945,573.48

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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.