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Finding the Third Proportional to 8,737,822 and 13,106,735

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Solution

The third proportional to 8,737,822 and 13,106,735 is: 19,660,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737,822 : 13,106,735 = 13,106,735 : x
  2. Step 2: Convert to fraction form
    8,737,822/13,106,735 = 13,106,735/x
  3. Step 3: Cross multiply
    8,737,822x = 13,106,735 × 13,106,735
  4. Step 4: Simplify right side
    8,737,822x = 171,786,502,360,225
  5. Step 5: Solve for x
    x = 171,786,502,360,225/8,737,822
  6. Step 6: Final answer
    x = 19,660,105.50

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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.