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Finding the Third Proportional to 3,575,508.96 and 7,819,453.97

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Solution

The third proportional to 3,575,508.96 and 7,819,453.97 is: 17,100,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575,508.96 : 7,819,453.97 = 7,819,453.97 : x
  2. Step 2: Convert to fraction form
    3,575,508.96/7,819,453.97 = 7,819,453.97/x
  3. Step 3: Cross multiply
    3,575,508.96x = 7,819,453.97 × 7,819,453.97
  4. Step 4: Simplify right side
    3,575,508.96x = 61,143,860,369,400.12
  5. Step 5: Solve for x
    x = 61,143,860,369,400.12/3,575,508.96
  6. Step 6: Final answer
    x = 17,100,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.