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Finding the Third Proportional to 38,659,431,421 and 83,227,227,656

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Solution

The third proportional to 38,659,431,421 and 83,227,227,656 is: 179,174,167,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,659,431,421 : 83,227,227,656 = 83,227,227,656 : x
  2. Step 2: Convert to fraction form
    38,659,431,421/83,227,227,656 = 83,227,227,656/x
  3. Step 3: Cross multiply
    38,659,431,421x = 83,227,227,656 × 83,227,227,656
  4. Step 4: Simplify right side
    38,659,431,421x = 6,926,771,423,303,651,295,232
  5. Step 5: Solve for x
    x = 6,926,771,423,303,651,295,232/38,659,431,421
  6. Step 6: Final answer
    x = 179,174,167,045.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.