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Finding the Third Proportional to 18,280,827 and 28,397,416.50

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Solution

The third proportional to 18,280,827 and 28,397,416.50 is: 44,112,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280,827 : 28,397,416.50 = 28,397,416.50 : x
  2. Step 2: Convert to fraction form
    18,280,827/28,397,416.50 = 28,397,416.50/x
  3. Step 3: Cross multiply
    18,280,827x = 28,397,416.50 × 28,397,416.50
  4. Step 4: Simplify right side
    18,280,827x = 806,413,263,874,472.25
  5. Step 5: Solve for x
    x = 806,413,263,874,472.25/18,280,827
  6. Step 6: Final answer
    x = 44,112,515.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.