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Finding the Third Proportional to 477,372,555 and 1,028,199,150

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Solution

The third proportional to 477,372,555 and 1,028,199,150 is: 2,214,608,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,372,555 : 1,028,199,150 = 1,028,199,150 : x
  2. Step 2: Convert to fraction form
    477,372,555/1,028,199,150 = 1,028,199,150/x
  3. Step 3: Cross multiply
    477,372,555x = 1,028,199,150 × 1,028,199,150
  4. Step 4: Simplify right side
    477,372,555x = 1,057,193,492,060,722,560
  5. Step 5: Solve for x
    x = 1,057,193,492,060,722,560/477,372,555
  6. Step 6: Final answer
    x = 2,214,608,864.69

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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.