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Finding the Third Proportional to 716,058,841.50 and 1,542,298,743

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Solution

The third proportional to 716,058,841.50 and 1,542,298,743 is: 3,321,913,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,058,841.50 : 1,542,298,743 = 1,542,298,743 : x
  2. Step 2: Convert to fraction form
    716,058,841.50/1,542,298,743 = 1,542,298,743/x
  3. Step 3: Cross multiply
    716,058,841.50x = 1,542,298,743 × 1,542,298,743
  4. Step 4: Simplify right side
    716,058,841.50x = 2,378,685,412,659,380,224
  5. Step 5: Solve for x
    x = 2,378,685,412,659,380,224/716,058,841.50
  6. Step 6: Final answer
    x = 3,321,913,332.82

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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.