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Finding the Third Proportional to 6,998,573.25 and 10,007,971.75

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Solution

The third proportional to 6,998,573.25 and 10,007,971.75 is: 14,311,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,573.25 : 10,007,971.75 = 10,007,971.75 : x
  2. Step 2: Convert to fraction form
    6,998,573.25/10,007,971.75 = 10,007,971.75/x
  3. Step 3: Cross multiply
    6,998,573.25x = 10,007,971.75 × 10,007,971.75
  4. Step 4: Simplify right side
    6,998,573.25x = 100,159,498,548,798.06
  5. Step 5: Solve for x
    x = 100,159,498,548,798.06/6,998,573.25
  6. Step 6: Final answer
    x = 14,311,416.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.