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Finding the Third Proportional to 622,172,125 and 1,333,088,603

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Solution

The third proportional to 622,172,125 and 1,333,088,603 is: 2,856,324,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,172,125 : 1,333,088,603 = 1,333,088,603 : x
  2. Step 2: Convert to fraction form
    622,172,125/1,333,088,603 = 1,333,088,603/x
  3. Step 3: Cross multiply
    622,172,125x = 1,333,088,603 × 1,333,088,603
  4. Step 4: Simplify right side
    622,172,125x = 1,777,125,223,448,491,520
  5. Step 5: Solve for x
    x = 1,777,125,223,448,491,520/622,172,125
  6. Step 6: Final answer
    x = 2,856,324,081.46

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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.