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Finding the Third Proportional to 682,159,018 and 1,500,335,774

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Solution

The third proportional to 682,159,018 and 1,500,335,774 is: 3,299,828,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,159,018 : 1,500,335,774 = 1,500,335,774 : x
  2. Step 2: Convert to fraction form
    682,159,018/1,500,335,774 = 1,500,335,774/x
  3. Step 3: Cross multiply
    682,159,018x = 1,500,335,774 × 1,500,335,774
  4. Step 4: Simplify right side
    682,159,018x = 2,251,007,434,744,179,200
  5. Step 5: Solve for x
    x = 2,251,007,434,744,179,200/682,159,018
  6. Step 6: Final answer
    x = 3,299,828,009.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.