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Finding the Third Proportional to 5,423,779.50 and 8,205,649.50

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Solution

The third proportional to 5,423,779.50 and 8,205,649.50 is: 12,414,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423,779.50 : 8,205,649.50 = 8,205,649.50 : x
  2. Step 2: Convert to fraction form
    5,423,779.50/8,205,649.50 = 8,205,649.50/x
  3. Step 3: Cross multiply
    5,423,779.50x = 8,205,649.50 × 8,205,649.50
  4. Step 4: Simplify right side
    5,423,779.50x = 67,332,683,716,850.25
  5. Step 5: Solve for x
    x = 67,332,683,716,850.25/5,423,779.50
  6. Step 6: Final answer
    x = 12,414,347.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.