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Finding the Third Proportional to 9,770,871 and 14,371,977

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Solution

The third proportional to 9,770,871 and 14,371,977 is: 21,139,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,871 : 14,371,977 = 14,371,977 : x
  2. Step 2: Convert to fraction form
    9,770,871/14,371,977 = 14,371,977/x
  3. Step 3: Cross multiply
    9,770,871x = 14,371,977 × 14,371,977
  4. Step 4: Simplify right side
    9,770,871x = 206,553,722,888,529
  5. Step 5: Solve for x
    x = 206,553,722,888,529/9,770,871
  6. Step 6: Final answer
    x = 21,139,745.16

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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.