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Finding the Third Proportional to 2,950,006 and 6,433,964

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Solution

The third proportional to 2,950,006 and 6,433,964 is: 14,032,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950,006 : 6,433,964 = 6,433,964 : x
  2. Step 2: Convert to fraction form
    2,950,006/6,433,964 = 6,433,964/x
  3. Step 3: Cross multiply
    2,950,006x = 6,433,964 × 6,433,964
  4. Step 4: Simplify right side
    2,950,006x = 41,395,892,753,296
  5. Step 5: Solve for x
    x = 41,395,892,753,296/2,950,006
  6. Step 6: Final answer
    x = 14,032,477.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.