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Finding the Third Proportional to 3,453,011.37 and 5,416,755.83

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Solution

The third proportional to 3,453,011.37 and 5,416,755.83 is: 8,497,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453,011.37 : 5,416,755.83 = 5,416,755.83 : x
  2. Step 2: Convert to fraction form
    3,453,011.37/5,416,755.83 = 5,416,755.83/x
  3. Step 3: Cross multiply
    3,453,011.37x = 5,416,755.83 × 5,416,755.83
  4. Step 4: Simplify right side
    3,453,011.37x = 29,341,243,759,712.94
  5. Step 5: Solve for x
    x = 29,341,243,759,712.94/3,453,011.37
  6. Step 6: Final answer
    x = 8,497,291.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.