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Finding the Third Proportional to 7,661,872.50 and 16,668,946.50

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Solution

The third proportional to 7,661,872.50 and 16,668,946.50 is: 36,264,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,872.50 : 16,668,946.50 = 16,668,946.50 : x
  2. Step 2: Convert to fraction form
    7,661,872.50/16,668,946.50 = 16,668,946.50/x
  3. Step 3: Cross multiply
    7,661,872.50x = 16,668,946.50 × 16,668,946.50
  4. Step 4: Simplify right side
    7,661,872.50x = 277,853,777,419,862.25
  5. Step 5: Solve for x
    x = 277,853,777,419,862.25/7,661,872.50
  6. Step 6: Final answer
    x = 36,264,474.18

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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.