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Finding the Third Proportional to 32,969,178 and 48,466,154.25

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Solution

The third proportional to 32,969,178 and 48,466,154.25 is: 71,247,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969,178 : 48,466,154.25 = 48,466,154.25 : x
  2. Step 2: Convert to fraction form
    32,969,178/48,466,154.25 = 48,466,154.25/x
  3. Step 3: Cross multiply
    32,969,178x = 48,466,154.25 × 48,466,154.25
  4. Step 4: Simplify right side
    32,969,178x = 2,348,968,107,784,793
  5. Step 5: Solve for x
    x = 2,348,968,107,784,793/32,969,178
  6. Step 6: Final answer
    x = 71,247,396.82

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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.