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Finding the Third Proportional to 32,343,974 and 70,145,198

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Solution

The third proportional to 32,343,974 and 70,145,198 is: 152,125,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,343,974 : 70,145,198 = 70,145,198 : x
  2. Step 2: Convert to fraction form
    32,343,974/70,145,198 = 70,145,198/x
  3. Step 3: Cross multiply
    32,343,974x = 70,145,198 × 70,145,198
  4. Step 4: Simplify right side
    32,343,974x = 4,920,348,802,459,204
  5. Step 5: Solve for x
    x = 4,920,348,802,459,204/32,343,974
  6. Step 6: Final answer
    x = 152,125,672.70

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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.