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Finding the Third Proportional to 273,023,622 and 589,681,714.50

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Solution

The third proportional to 273,023,622 and 589,681,714.50 is: 1,273,606,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,023,622 : 589,681,714.50 = 589,681,714.50 : x
  2. Step 2: Convert to fraction form
    273,023,622/589,681,714.50 = 589,681,714.50/x
  3. Step 3: Cross multiply
    273,023,622x = 589,681,714.50 × 589,681,714.50
  4. Step 4: Simplify right side
    273,023,622x = 347,724,524,415,659,520
  5. Step 5: Solve for x
    x = 347,724,524,415,659,520/273,023,622
  6. Step 6: Final answer
    x = 1,273,606,004.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.