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Finding the Third Proportional to 35,512,088 and 82,972,259

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Solution

The third proportional to 35,512,088 and 82,972,259 is: 193,860,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512,088 : 82,972,259 = 82,972,259 : x
  2. Step 2: Convert to fraction form
    35,512,088/82,972,259 = 82,972,259/x
  3. Step 3: Cross multiply
    35,512,088x = 82,972,259 × 82,972,259
  4. Step 4: Simplify right side
    35,512,088x = 6,884,395,763,563,081
  5. Step 5: Solve for x
    x = 6,884,395,763,563,081/35,512,088
  6. Step 6: Final answer
    x = 193,860,630.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.