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Finding the Third Proportional to 695,563,956 and 1,500,086,847.38

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Solution

The third proportional to 695,563,956 and 1,500,086,847.38 is: 3,235,159,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,563,956 : 1,500,086,847.38 = 1,500,086,847.38 : x
  2. Step 2: Convert to fraction form
    695,563,956/1,500,086,847.38 = 1,500,086,847.38/x
  3. Step 3: Cross multiply
    695,563,956x = 1,500,086,847.38 × 1,500,086,847.38
  4. Step 4: Simplify right side
    695,563,956x = 2,250,260,549,667,466,496
  5. Step 5: Solve for x
    x = 2,250,260,549,667,466,496/695,563,956
  6. Step 6: Final answer
    x = 3,235,159,801.28

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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.