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Finding the Third Proportional to 5,977,480.50 and 12,825,751.50

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Solution

The third proportional to 5,977,480.50 and 12,825,751.50 is: 27,519,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,480.50 : 12,825,751.50 = 12,825,751.50 : x
  2. Step 2: Convert to fraction form
    5,977,480.50/12,825,751.50 = 12,825,751.50/x
  3. Step 3: Cross multiply
    5,977,480.50x = 12,825,751.50 × 12,825,751.50
  4. Step 4: Simplify right side
    5,977,480.50x = 164,499,901,539,752.25
  5. Step 5: Solve for x
    x = 164,499,901,539,752.25/5,977,480.50
  6. Step 6: Final answer
    x = 27,519,939.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.