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Finding the Third Proportional to 8,975,146,916,469 and 18,200,037,779,619

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Solution

The third proportional to 8,975,146,916,469 and 18,200,037,779,619 is: 36,906,512,869,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,146,916,469 : 18,200,037,779,619 = 18,200,037,779,619 : x
  2. Step 2: Convert to fraction form
    8,975,146,916,469/18,200,037,779,619 = 18,200,037,779,619/x
  3. Step 3: Cross multiply
    8,975,146,916,469x = 18,200,037,779,619 × 18,200,037,779,619
  4. Step 4: Simplify right side
    8,975,146,916,469x = 331,241,375,179,558,907,686,158,336
  5. Step 5: Solve for x
    x = 331,241,375,179,558,907,686,158,336/8,975,146,916,469
  6. Step 6: Final answer
    x = 36,906,512,869,638.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.