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Finding the Third Proportional to 11,052,290.50 and 23,784,197.50

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Solution

The third proportional to 11,052,290.50 and 23,784,197.50 is: 51,182,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052,290.50 : 23,784,197.50 = 23,784,197.50 : x
  2. Step 2: Convert to fraction form
    11,052,290.50/23,784,197.50 = 23,784,197.50/x
  3. Step 3: Cross multiply
    11,052,290.50x = 23,784,197.50 × 23,784,197.50
  4. Step 4: Simplify right side
    11,052,290.50x = 565,688,050,719,006.25
  5. Step 5: Solve for x
    x = 565,688,050,719,006.25/11,052,290.50
  6. Step 6: Final answer
    x = 51,182,879.31

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Why These Related Problems?

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