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Finding the Third Proportional to 9,653,562 and 14,164,767

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Solution

The third proportional to 9,653,562 and 14,164,767 is: 20,784,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653,562 : 14,164,767 = 14,164,767 : x
  2. Step 2: Convert to fraction form
    9,653,562/14,164,767 = 14,164,767/x
  3. Step 3: Cross multiply
    9,653,562x = 14,164,767 × 14,164,767
  4. Step 4: Simplify right side
    9,653,562x = 200,640,624,164,289
  5. Step 5: Solve for x
    x = 200,640,624,164,289/9,653,562
  6. Step 6: Final answer
    x = 20,784,102.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.