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Finding the Third Proportional to 236,291,757,178 and 508,421,522,636

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Solution

The third proportional to 236,291,757,178 and 508,421,522,636 is: 1,093,954,557,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,291,757,178 : 508,421,522,636 = 508,421,522,636 : x
  2. Step 2: Convert to fraction form
    236,291,757,178/508,421,522,636 = 508,421,522,636/x
  3. Step 3: Cross multiply
    236,291,757,178x = 508,421,522,636 × 508,421,522,636
  4. Step 4: Simplify right side
    236,291,757,178x = 258,492,444,679,508,659,798,016
  5. Step 5: Solve for x
    x = 258,492,444,679,508,659,798,016/236,291,757,178
  6. Step 6: Final answer
    x = 1,093,954,557,563.28

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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.