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Finding the Third Proportional to 2,993,420 and 6,566,296

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Solution

The third proportional to 2,993,420 and 6,566,296 is: 14,403,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,420 : 6,566,296 = 6,566,296 : x
  2. Step 2: Convert to fraction form
    2,993,420/6,566,296 = 6,566,296/x
  3. Step 3: Cross multiply
    2,993,420x = 6,566,296 × 6,566,296
  4. Step 4: Simplify right side
    2,993,420x = 43,116,243,159,616
  5. Step 5: Solve for x
    x = 43,116,243,159,616/2,993,420
  6. Step 6: Final answer
    x = 14,403,673.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.