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Finding the Third Proportional to 8,737,823 and 13,106,736

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Solution

The third proportional to 8,737,823 and 13,106,736 is: 19,660,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737,823 : 13,106,736 = 13,106,736 : x
  2. Step 2: Convert to fraction form
    8,737,823/13,106,736 = 13,106,736/x
  3. Step 3: Cross multiply
    8,737,823x = 13,106,736 × 13,106,736
  4. Step 4: Simplify right side
    8,737,823x = 171,786,528,573,696
  5. Step 5: Solve for x
    x = 171,786,528,573,696/8,737,823
  6. Step 6: Final answer
    x = 19,660,106.25

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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.