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Finding the Third Proportional to 6,729,856.05 and 14,677,770.72

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Solution

The third proportional to 6,729,856.05 and 14,677,770.72 is: 32,012,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,856.05 : 14,677,770.72 = 14,677,770.72 : x
  2. Step 2: Convert to fraction form
    6,729,856.05/14,677,770.72 = 14,677,770.72/x
  3. Step 3: Cross multiply
    6,729,856.05x = 14,677,770.72 × 14,677,770.72
  4. Step 4: Simplify right side
    6,729,856.05x = 215,436,953,243,514.53
  5. Step 5: Solve for x
    x = 215,436,953,243,514.53/6,729,856.05
  6. Step 6: Final answer
    x = 32,012,119.08

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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.