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Finding the Third Proportional to 6,097,134.75 and 8,916,699.75

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Solution

The third proportional to 6,097,134.75 and 8,916,699.75 is: 13,040,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,134.75 : 8,916,699.75 = 8,916,699.75 : x
  2. Step 2: Convert to fraction form
    6,097,134.75/8,916,699.75 = 8,916,699.75/x
  3. Step 3: Cross multiply
    6,097,134.75x = 8,916,699.75 × 8,916,699.75
  4. Step 4: Simplify right side
    6,097,134.75x = 79,507,534,431,650.06
  5. Step 5: Solve for x
    x = 79,507,534,431,650.06/6,097,134.75
  6. Step 6: Final answer
    x = 13,040,147.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.