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Finding the Third Proportional to 6,034,024.13 and 13,096,636.88

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Solution

The third proportional to 6,034,024.13 and 13,096,636.88 is: 28,425,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034,024.13 : 13,096,636.88 = 13,096,636.88 : x
  2. Step 2: Convert to fraction form
    6,034,024.13/13,096,636.88 = 13,096,636.88/x
  3. Step 3: Cross multiply
    6,034,024.13x = 13,096,636.88 × 13,096,636.88
  4. Step 4: Simplify right side
    6,034,024.13x = 171,521,897,435,609.75
  5. Step 5: Solve for x
    x = 171,521,897,435,609.75/6,034,024.13
  6. Step 6: Final answer
    x = 28,425,789.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.