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Finding the Third Proportional to 32,343,975 and 70,145,198.44

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Solution

The third proportional to 32,343,975 and 70,145,198.44 is: 152,125,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,343,975 : 70,145,198.44 = 70,145,198.44 : x
  2. Step 2: Convert to fraction form
    32,343,975/70,145,198.44 = 70,145,198.44/x
  3. Step 3: Cross multiply
    32,343,975x = 70,145,198.44 × 70,145,198.44
  4. Step 4: Simplify right side
    32,343,975x = 4,920,348,863,836,252
  5. Step 5: Solve for x
    x = 4,920,348,863,836,252/32,343,975
  6. Step 6: Final answer
    x = 152,125,669.89

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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.