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Finding the Third Proportional to 8,733,612,992 and 12,489,162,666

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Solution

The third proportional to 8,733,612,992 and 12,489,162,666 is: 17,859,640,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733,612,992 : 12,489,162,666 = 12,489,162,666 : x
  2. Step 2: Convert to fraction form
    8,733,612,992/12,489,162,666 = 12,489,162,666/x
  3. Step 3: Cross multiply
    8,733,612,992x = 12,489,162,666 × 12,489,162,666
  4. Step 4: Simplify right side
    8,733,612,992x = 155,979,184,097,808,220,160
  5. Step 5: Solve for x
    x = 155,979,184,097,808,220,160/8,733,612,992
  6. Step 6: Final answer
    x = 17,859,640,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.