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Finding the Third Proportional to 8,412,750,504 and 18,168,730,310

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Solution

The third proportional to 8,412,750,504 and 18,168,730,310 is: 39,238,387,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412,750,504 : 18,168,730,310 = 18,168,730,310 : x
  2. Step 2: Convert to fraction form
    8,412,750,504/18,168,730,310 = 18,168,730,310/x
  3. Step 3: Cross multiply
    8,412,750,504x = 18,168,730,310 × 18,168,730,310
  4. Step 4: Simplify right side
    8,412,750,504x = 330,102,761,077,512,667,136
  5. Step 5: Solve for x
    x = 330,102,761,077,512,667,136/8,412,750,504
  6. Step 6: Final answer
    x = 39,238,387,126.85

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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.