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Finding the Third Proportional to 1,337,587,856 and 2,066,022,842

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Solution

The third proportional to 1,337,587,856 and 2,066,022,842 is: 3,191,155,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,587,856 : 2,066,022,842 = 2,066,022,842 : x
  2. Step 2: Convert to fraction form
    1,337,587,856/2,066,022,842 = 2,066,022,842/x
  3. Step 3: Cross multiply
    1,337,587,856x = 2,066,022,842 × 2,066,022,842
  4. Step 4: Simplify right side
    1,337,587,856x = 4,268,450,383,665,757,184
  5. Step 5: Solve for x
    x = 4,268,450,383,665,757,184/1,337,587,856
  6. Step 6: Final answer
    x = 3,191,155,156.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.