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Finding the Third Proportional to 6,149,641.50 and 13,457,704.50

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Solution

The third proportional to 6,149,641.50 and 13,457,704.50 is: 29,450,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,641.50 : 13,457,704.50 = 13,457,704.50 : x
  2. Step 2: Convert to fraction form
    6,149,641.50/13,457,704.50 = 13,457,704.50/x
  3. Step 3: Cross multiply
    6,149,641.50x = 13,457,704.50 × 13,457,704.50
  4. Step 4: Simplify right side
    6,149,641.50x = 181,109,810,409,320.25
  5. Step 5: Solve for x
    x = 181,109,810,409,320.25/6,149,641.50
  6. Step 6: Final answer
    x = 29,450,466.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.