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Finding the Third Proportional to 32,968,217 and 48,464,530

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Solution

The third proportional to 32,968,217 and 48,464,530 is: 71,244,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968,217 : 48,464,530 = 48,464,530 : x
  2. Step 2: Convert to fraction form
    32,968,217/48,464,530 = 48,464,530/x
  3. Step 3: Cross multiply
    32,968,217x = 48,464,530 × 48,464,530
  4. Step 4: Simplify right side
    32,968,217x = 2,348,810,668,120,900
  5. Step 5: Solve for x
    x = 2,348,810,668,120,900/32,968,217
  6. Step 6: Final answer
    x = 71,244,698.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.