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Finding the Third Proportional to 716,058,838.50 and 1,542,298,737

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Solution

The third proportional to 716,058,838.50 and 1,542,298,737 is: 3,321,913,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,058,838.50 : 1,542,298,737 = 1,542,298,737 : x
  2. Step 2: Convert to fraction form
    716,058,838.50/1,542,298,737 = 1,542,298,737/x
  3. Step 3: Cross multiply
    716,058,838.50x = 1,542,298,737 × 1,542,298,737
  4. Step 4: Simplify right side
    716,058,838.50x = 2,378,685,394,151,795,200
  5. Step 5: Solve for x
    x = 2,378,685,394,151,795,200/716,058,838.50
  6. Step 6: Final answer
    x = 3,321,913,320.89

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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.