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Finding the Third Proportional to 127,245,107,055 and 276,830,656,885.50

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Solution

The third proportional to 127,245,107,055 and 276,830,656,885.50 is: 602,264,514,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,245,107,055 : 276,830,656,885.50 = 276,830,656,885.50 : x
  2. Step 2: Convert to fraction form
    127,245,107,055/276,830,656,885.50 = 276,830,656,885.50/x
  3. Step 3: Cross multiply
    127,245,107,055x = 276,830,656,885.50 × 276,830,656,885.50
  4. Step 4: Simplify right side
    127,245,107,055x = 76,635,212,591,657,432,121,344
  5. Step 5: Solve for x
    x = 76,635,212,591,657,432,121,344/127,245,107,055
  6. Step 6: Final answer
    x = 602,264,514,253.84

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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.