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Finding the Third Proportional to 8,737,826 and 13,106,742

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Solution

The third proportional to 8,737,826 and 13,106,742 is: 19,660,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737,826 : 13,106,742 = 13,106,742 : x
  2. Step 2: Convert to fraction form
    8,737,826/13,106,742 = 13,106,742/x
  3. Step 3: Cross multiply
    8,737,826x = 13,106,742 × 13,106,742
  4. Step 4: Simplify right side
    8,737,826x = 171,786,685,854,564
  5. Step 5: Solve for x
    x = 171,786,685,854,564/8,737,826
  6. Step 6: Final answer
    x = 19,660,117.50

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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.