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Finding the Third Proportional to 17,946,746 and 39,141,682

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Solution

The third proportional to 17,946,746 and 39,141,682 is: 85,367,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946,746 : 39,141,682 = 39,141,682 : x
  2. Step 2: Convert to fraction form
    17,946,746/39,141,682 = 39,141,682/x
  3. Step 3: Cross multiply
    17,946,746x = 39,141,682 × 39,141,682
  4. Step 4: Simplify right side
    17,946,746x = 1,532,071,269,789,124
  5. Step 5: Solve for x
    x = 1,532,071,269,789,124/17,946,746
  6. Step 6: Final answer
    x = 85,367,635.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.