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Finding the Third Proportional to 6,580,353.94 and 14,201,130.09

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Solution

The third proportional to 6,580,353.94 and 14,201,130.09 is: 30,647,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,353.94 : 14,201,130.09 = 14,201,130.09 : x
  2. Step 2: Convert to fraction form
    6,580,353.94/14,201,130.09 = 14,201,130.09/x
  3. Step 3: Cross multiply
    6,580,353.94x = 14,201,130.09 × 14,201,130.09
  4. Step 4: Simplify right side
    6,580,353.94x = 201,672,095,939,611.88
  5. Step 5: Solve for x
    x = 201,672,095,939,611.88/6,580,353.94
  6. Step 6: Final answer
    x = 30,647,606.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.