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Finding the Third Proportional to 8,397,684 and 12,594,342

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Solution

The third proportional to 8,397,684 and 12,594,342 is: 18,888,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397,684 : 12,594,342 = 12,594,342 : x
  2. Step 2: Convert to fraction form
    8,397,684/12,594,342 = 12,594,342/x
  3. Step 3: Cross multiply
    8,397,684x = 12,594,342 × 12,594,342
  4. Step 4: Simplify right side
    8,397,684x = 158,617,450,412,964
  5. Step 5: Solve for x
    x = 158,617,450,412,964/8,397,684
  6. Step 6: Final answer
    x = 18,888,237.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.