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Finding the Third Proportional to 5,425,383.16 and 11,596,909.22

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Solution

The third proportional to 5,425,383.16 and 11,596,909.22 is: 24,788,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425,383.16 : 11,596,909.22 = 11,596,909.22 : x
  2. Step 2: Convert to fraction form
    5,425,383.16/11,596,909.22 = 11,596,909.22/x
  3. Step 3: Cross multiply
    5,425,383.16x = 11,596,909.22 × 11,596,909.22
  4. Step 4: Simplify right side
    5,425,383.16x = 134,488,303,427,928.73
  5. Step 5: Solve for x
    x = 134,488,303,427,928.73/5,425,383.16
  6. Step 6: Final answer
    x = 24,788,719.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.