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Finding the Third Proportional to 32,311,968 and 69,163,824

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Solution

The third proportional to 32,311,968 and 69,163,824 is: 148,045,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311,968 : 69,163,824 = 69,163,824 : x
  2. Step 2: Convert to fraction form
    32,311,968/69,163,824 = 69,163,824/x
  3. Step 3: Cross multiply
    32,311,968x = 69,163,824 × 69,163,824
  4. Step 4: Simplify right side
    32,311,968x = 4,783,634,550,302,976
  5. Step 5: Solve for x
    x = 4,783,634,550,302,976/32,311,968
  6. Step 6: Final answer
    x = 148,045,286.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.