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Finding the Third Proportional to 10,575,351.09 and 14,268,631.64

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Solution

The third proportional to 10,575,351.09 and 14,268,631.64 is: 19,251,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575,351.09 : 14,268,631.64 = 14,268,631.64 : x
  2. Step 2: Convert to fraction form
    10,575,351.09/14,268,631.64 = 14,268,631.64/x
  3. Step 3: Cross multiply
    10,575,351.09x = 14,268,631.64 × 14,268,631.64
  4. Step 4: Simplify right side
    10,575,351.09x = 203,593,848,895,844.88
  5. Step 5: Solve for x
    x = 203,593,848,895,844.88/10,575,351.09
  6. Step 6: Final answer
    x = 19,251,734.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.