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Finding the Third Proportional to 5,749,714.13 and 12,297,207.38

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Solution

The third proportional to 5,749,714.13 and 12,297,207.38 is: 26,300,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,714.13 : 12,297,207.38 = 12,297,207.38 : x
  2. Step 2: Convert to fraction form
    5,749,714.13/12,297,207.38 = 12,297,207.38/x
  3. Step 3: Cross multiply
    5,749,714.13x = 12,297,207.38 × 12,297,207.38
  4. Step 4: Simplify right side
    5,749,714.13x = 151,221,309,223,754.38
  5. Step 5: Solve for x
    x = 151,221,309,223,754.38/5,749,714.13
  6. Step 6: Final answer
    x = 26,300,665.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.