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Finding the Third Proportional to 622,172,129 and 1,333,088,610

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Solution

The third proportional to 622,172,129 and 1,333,088,610 is: 2,856,324,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,172,129 : 1,333,088,610 = 1,333,088,610 : x
  2. Step 2: Convert to fraction form
    622,172,129/1,333,088,610 = 1,333,088,610/x
  3. Step 3: Cross multiply
    622,172,129x = 1,333,088,610 × 1,333,088,610
  4. Step 4: Simplify right side
    622,172,129x = 1,777,125,242,111,732,224
  5. Step 5: Solve for x
    x = 1,777,125,242,111,732,224/622,172,129
  6. Step 6: Final answer
    x = 2,856,324,093.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.