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Finding the Third Proportional to 138,743,638,614 and 220,768,403,826

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Solution

The third proportional to 138,743,638,614 and 220,768,403,826 is: 351,285,930,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743,638,614 : 220,768,403,826 = 220,768,403,826 : x
  2. Step 2: Convert to fraction form
    138,743,638,614/220,768,403,826 = 220,768,403,826/x
  3. Step 3: Cross multiply
    138,743,638,614x = 220,768,403,826 × 220,768,403,826
  4. Step 4: Simplify right side
    138,743,638,614x = 48,738,688,127,879,811,694,592
  5. Step 5: Solve for x
    x = 48,738,688,127,879,811,694,592/138,743,638,614
  6. Step 6: Final answer
    x = 351,285,930,041.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.