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Finding the Third Proportional to 32,468,757 and 67,624,246

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Solution

The third proportional to 32,468,757 and 67,624,246 is: 140,844,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468,757 : 67,624,246 = 67,624,246 : x
  2. Step 2: Convert to fraction form
    32,468,757/67,624,246 = 67,624,246/x
  3. Step 3: Cross multiply
    32,468,757x = 67,624,246 × 67,624,246
  4. Step 4: Simplify right side
    32,468,757x = 4,573,038,647,068,516
  5. Step 5: Solve for x
    x = 4,573,038,647,068,516/32,468,757
  6. Step 6: Final answer
    x = 140,844,278.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.