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Finding the Third Proportional to 290,286,767,175 and 403,620,546,726

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Solution

The third proportional to 290,286,767,175 and 403,620,546,726 is: 561,202,108,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,767,175 : 403,620,546,726 = 403,620,546,726 : x
  2. Step 2: Convert to fraction form
    290,286,767,175/403,620,546,726 = 403,620,546,726/x
  3. Step 3: Cross multiply
    290,286,767,175x = 403,620,546,726 × 403,620,546,726
  4. Step 4: Simplify right side
    290,286,767,175x = 162,909,545,739,395,163,750,400
  5. Step 5: Solve for x
    x = 162,909,545,739,395,163,750,400/290,286,767,175
  6. Step 6: Final answer
    x = 561,202,108,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.