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Finding the Third Proportional to 716,058,858 and 1,542,298,767

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Solution

The third proportional to 716,058,858 and 1,542,298,767 is: 3,321,913,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,058,858 : 1,542,298,767 = 1,542,298,767 : x
  2. Step 2: Convert to fraction form
    716,058,858/1,542,298,767 = 1,542,298,767/x
  3. Step 3: Cross multiply
    716,058,858x = 1,542,298,767 × 1,542,298,767
  4. Step 4: Simplify right side
    716,058,858x = 2,378,685,486,689,720,320
  5. Step 5: Solve for x
    x = 2,378,685,486,689,720,320/716,058,858
  6. Step 6: Final answer
    x = 3,321,913,359.66

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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.