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Finding the Third Proportional to 32,382,064 and 70,144,976

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Solution

The third proportional to 32,382,064 and 70,144,976 is: 151,945,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382,064 : 70,144,976 = 70,144,976 : x
  2. Step 2: Convert to fraction form
    32,382,064/70,144,976 = 70,144,976/x
  3. Step 3: Cross multiply
    32,382,064x = 70,144,976 × 70,144,976
  4. Step 4: Simplify right side
    32,382,064x = 4,920,317,658,040,576
  5. Step 5: Solve for x
    x = 4,920,317,658,040,576/32,382,064
  6. Step 6: Final answer
    x = 151,945,770.29

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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.