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Finding the Third Proportional to 401,091,348,898 and 606,795,607,667

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Solution

The third proportional to 401,091,348,898 and 606,795,607,667 is: 917,997,634,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,091,348,898 : 606,795,607,667 = 606,795,607,667 : x
  2. Step 2: Convert to fraction form
    401,091,348,898/606,795,607,667 = 606,795,607,667/x
  3. Step 3: Cross multiply
    401,091,348,898x = 606,795,607,667 × 606,795,607,667
  4. Step 4: Simplify right side
    401,091,348,898x = 368,200,909,483,963,811,102,720
  5. Step 5: Solve for x
    x = 368,200,909,483,963,811,102,720/401,091,348,898
  6. Step 6: Final answer
    x = 917,997,634,443.12

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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.