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Finding the Third Proportional to 5,108,383.50 and 7,910,434.50

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Solution

The third proportional to 5,108,383.50 and 7,910,434.50 is: 12,249,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,383.50 : 7,910,434.50 = 7,910,434.50 : x
  2. Step 2: Convert to fraction form
    5,108,383.50/7,910,434.50 = 7,910,434.50/x
  3. Step 3: Cross multiply
    5,108,383.50x = 7,910,434.50 × 7,910,434.50
  4. Step 4: Simplify right side
    5,108,383.50x = 62,574,973,978,790.25
  5. Step 5: Solve for x
    x = 62,574,973,978,790.25/5,108,383.50
  6. Step 6: Final answer
    x = 12,249,466.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.