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Finding the Third Proportional to 8,299,518,612 and 17,924,187,128

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Solution

The third proportional to 8,299,518,612 and 17,924,187,128 is: 38,710,255,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299,518,612 : 17,924,187,128 = 17,924,187,128 : x
  2. Step 2: Convert to fraction form
    8,299,518,612/17,924,187,128 = 17,924,187,128/x
  3. Step 3: Cross multiply
    8,299,518,612x = 17,924,187,128 × 17,924,187,128
  4. Step 4: Simplify right side
    8,299,518,612x = 321,276,484,199,560,904,704
  5. Step 5: Solve for x
    x = 321,276,484,199,560,904,704/8,299,518,612
  6. Step 6: Final answer
    x = 38,710,255,283.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.