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Finding the Third Proportional to 6,734,720.32 and 14,773,114.76

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Solution

The third proportional to 6,734,720.32 and 14,773,114.76 is: 32,405,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,720.32 : 14,773,114.76 = 14,773,114.76 : x
  2. Step 2: Convert to fraction form
    6,734,720.32/14,773,114.76 = 14,773,114.76/x
  3. Step 3: Cross multiply
    6,734,720.32x = 14,773,114.76 × 14,773,114.76
  4. Step 4: Simplify right side
    6,734,720.32x = 218,244,919,647,482.72
  5. Step 5: Solve for x
    x = 218,244,919,647,482.72/6,734,720.32
  6. Step 6: Final answer
    x = 32,405,936.59

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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.