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Finding the Third Proportional to 6,580,299 and 14,201,033

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Solution

The third proportional to 6,580,299 and 14,201,033 is: 30,647,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,299 : 14,201,033 = 14,201,033 : x
  2. Step 2: Convert to fraction form
    6,580,299/14,201,033 = 14,201,033/x
  3. Step 3: Cross multiply
    6,580,299x = 14,201,033 × 14,201,033
  4. Step 4: Simplify right side
    6,580,299x = 201,669,338,267,089
  5. Step 5: Solve for x
    x = 201,669,338,267,089/6,580,299
  6. Step 6: Final answer
    x = 30,647,442.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.