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Finding the Third Proportional to 127,092,138,930 and 276,523,924,986

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Solution

The third proportional to 127,092,138,930 and 276,523,924,986 is: 601,653,900,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,092,138,930 : 276,523,924,986 = 276,523,924,986 : x
  2. Step 2: Convert to fraction form
    127,092,138,930/276,523,924,986 = 276,523,924,986/x
  3. Step 3: Cross multiply
    127,092,138,930x = 276,523,924,986 × 276,523,924,986
  4. Step 4: Simplify right side
    127,092,138,930x = 76,465,481,089,662,960,271,360
  5. Step 5: Solve for x
    x = 76,465,481,089,662,960,271,360/127,092,138,930
  6. Step 6: Final answer
    x = 601,653,900,339.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.