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Finding the Third Proportional to 22,023,549 and 33,020,041.50

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Solution

The third proportional to 22,023,549 and 33,020,041.50 is: 49,507,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023,549 : 33,020,041.50 = 33,020,041.50 : x
  2. Step 2: Convert to fraction form
    22,023,549/33,020,041.50 = 33,020,041.50/x
  3. Step 3: Cross multiply
    22,023,549x = 33,020,041.50 × 33,020,041.50
  4. Step 4: Simplify right side
    22,023,549x = 1,090,323,140,661,722.25
  5. Step 5: Solve for x
    x = 1,090,323,140,661,722.25/22,023,549
  6. Step 6: Final answer
    x = 49,507,149.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.