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Finding the Third Proportional to 286,301,490,864 and 622,868,977,972

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Solution

The third proportional to 286,301,490,864 and 622,868,977,972 is: 1,355,095,157,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,301,490,864 : 622,868,977,972 = 622,868,977,972 : x
  2. Step 2: Convert to fraction form
    286,301,490,864/622,868,977,972 = 622,868,977,972/x
  3. Step 3: Cross multiply
    286,301,490,864x = 622,868,977,972 × 622,868,977,972
  4. Step 4: Simplify right side
    286,301,490,864x = 387,965,763,719,883,839,766,528
  5. Step 5: Solve for x
    x = 387,965,763,719,883,839,766,528/286,301,490,864
  6. Step 6: Final answer
    x = 1,355,095,157,028.63

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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.