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Finding the Third Proportional to 49,924,889,687 and 106,918,712,311

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Solution

The third proportional to 49,924,889,687 and 106,918,712,311 is: 228,976,190,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924,889,687 : 106,918,712,311 = 106,918,712,311 : x
  2. Step 2: Convert to fraction form
    49,924,889,687/106,918,712,311 = 106,918,712,311/x
  3. Step 3: Cross multiply
    49,924,889,687x = 106,918,712,311 × 106,918,712,311
  4. Step 4: Simplify right side
    49,924,889,687x = 11,431,611,042,242,383,314,944
  5. Step 5: Solve for x
    x = 11,431,611,042,242,383,314,944/49,924,889,687
  6. Step 6: Final answer
    x = 228,976,190,311.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.