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Finding the Third Proportional to 445,583,019 and 681,181,600.50

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Solution

The third proportional to 445,583,019 and 681,181,600.50 is: 1,041,351,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,583,019 : 681,181,600.50 = 681,181,600.50 : x
  2. Step 2: Convert to fraction form
    445,583,019/681,181,600.50 = 681,181,600.50/x
  3. Step 3: Cross multiply
    445,583,019x = 681,181,600.50 × 681,181,600.50
  4. Step 4: Simplify right side
    445,583,019x = 464,008,372,859,741,632
  5. Step 5: Solve for x
    x = 464,008,372,859,741,632/445,583,019
  6. Step 6: Final answer
    x = 1,041,351,113.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.