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Finding the Third Proportional to 286,301,490,866 and 622,868,977,976

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Solution

The third proportional to 286,301,490,866 and 622,868,977,976 is: 1,355,095,157,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,301,490,866 : 622,868,977,976 = 622,868,977,976 : x
  2. Step 2: Convert to fraction form
    286,301,490,866/622,868,977,976 = 622,868,977,976/x
  3. Step 3: Cross multiply
    286,301,490,866x = 622,868,977,976 × 622,868,977,976
  4. Step 4: Simplify right side
    286,301,490,866x = 387,965,763,724,866,740,027,392
  5. Step 5: Solve for x
    x = 387,965,763,724,866,740,027,392/286,301,490,866
  6. Step 6: Final answer
    x = 1,355,095,157,036.57

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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.