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Finding the Third Proportional to 7,429,266 and 11,109,744

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Solution

The third proportional to 7,429,266 and 11,109,744 is: 16,613,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429,266 : 11,109,744 = 11,109,744 : x
  2. Step 2: Convert to fraction form
    7,429,266/11,109,744 = 11,109,744/x
  3. Step 3: Cross multiply
    7,429,266x = 11,109,744 × 11,109,744
  4. Step 4: Simplify right side
    7,429,266x = 123,426,411,745,536
  5. Step 5: Solve for x
    x = 123,426,411,745,536/7,429,266
  6. Step 6: Final answer
    x = 16,613,540.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.