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Finding the Third Proportional to 5,960,229 and 9,226,842

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Solution

The third proportional to 5,960,229 and 9,226,842 is: 14,283,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960,229 : 9,226,842 = 9,226,842 : x
  2. Step 2: Convert to fraction form
    5,960,229/9,226,842 = 9,226,842/x
  3. Step 3: Cross multiply
    5,960,229x = 9,226,842 × 9,226,842
  4. Step 4: Simplify right side
    5,960,229x = 85,134,613,292,964
  5. Step 5: Solve for x
    x = 85,134,613,292,964/5,960,229
  6. Step 6: Final answer
    x = 14,283,782.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.