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Finding the Third Proportional to 401,091,348,902 and 606,795,607,673

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Solution

The third proportional to 401,091,348,902 and 606,795,607,673 is: 917,997,634,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,091,348,902 : 606,795,607,673 = 606,795,607,673 : x
  2. Step 2: Convert to fraction form
    401,091,348,902/606,795,607,673 = 606,795,607,673/x
  3. Step 3: Cross multiply
    401,091,348,902x = 606,795,607,673 × 606,795,607,673
  4. Step 4: Simplify right side
    401,091,348,902x = 368,200,909,491,245,324,173,312
  5. Step 5: Solve for x
    x = 368,200,909,491,245,324,173,312/401,091,348,902
  6. Step 6: Final answer
    x = 917,997,634,452.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.