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Finding the Third Proportional to 5,978,232 and 8,388,643.13

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Solution

The third proportional to 5,978,232 and 8,388,643.13 is: 11,770,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,232 : 8,388,643.13 = 8,388,643.13 : x
  2. Step 2: Convert to fraction form
    5,978,232/8,388,643.13 = 8,388,643.13/x
  3. Step 3: Cross multiply
    5,978,232x = 8,388,643.13 × 8,388,643.13
  4. Step 4: Simplify right side
    5,978,232x = 70,369,333,478,609.77
  5. Step 5: Solve for x
    x = 70,369,333,478,609.77/5,978,232
  6. Step 6: Final answer
    x = 11,770,927.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.