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Finding the Third Proportional to 6,425,303.48 and 14,022,599.77

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Solution

The third proportional to 6,425,303.48 and 14,022,599.77 is: 30,602,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,303.48 : 14,022,599.77 = 14,022,599.77 : x
  2. Step 2: Convert to fraction form
    6,425,303.48/14,022,599.77 = 14,022,599.77/x
  3. Step 3: Cross multiply
    6,425,303.48x = 14,022,599.77 × 14,022,599.77
  4. Step 4: Simplify right side
    6,425,303.48x = 196,633,304,186,906.31
  5. Step 5: Solve for x
    x = 196,633,304,186,906.31/6,425,303.48
  6. Step 6: Final answer
    x = 30,602,959.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.