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Finding the Third Proportional to 6,647,994 and 14,289,006

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Solution

The third proportional to 6,647,994 and 14,289,006 is: 30,712,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,994 : 14,289,006 = 14,289,006 : x
  2. Step 2: Convert to fraction form
    6,647,994/14,289,006 = 14,289,006/x
  3. Step 3: Cross multiply
    6,647,994x = 14,289,006 × 14,289,006
  4. Step 4: Simplify right side
    6,647,994x = 204,175,692,468,036
  5. Step 5: Solve for x
    x = 204,175,692,468,036/6,647,994
  6. Step 6: Final answer
    x = 30,712,376.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.