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Finding the Third Proportional to 401,091,348,896 and 606,795,607,664

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Solution

The third proportional to 401,091,348,896 and 606,795,607,664 is: 917,997,634,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,091,348,896 : 606,795,607,664 = 606,795,607,664 : x
  2. Step 2: Convert to fraction form
    401,091,348,896/606,795,607,664 = 606,795,607,664/x
  3. Step 3: Cross multiply
    401,091,348,896x = 606,795,607,664 × 606,795,607,664
  4. Step 4: Simplify right side
    401,091,348,896x = 368,200,909,480,323,021,012,992
  5. Step 5: Solve for x
    x = 368,200,909,480,323,021,012,992/401,091,348,896
  6. Step 6: Final answer
    x = 917,997,634,438.62

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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.