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Finding the Third Proportional to 622,172,109.75 and 1,333,088,571.75

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Solution

The third proportional to 622,172,109.75 and 1,333,088,571.75 is: 2,856,324,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,172,109.75 : 1,333,088,571.75 = 1,333,088,571.75 : x
  2. Step 2: Convert to fraction form
    622,172,109.75/1,333,088,571.75 = 1,333,088,571.75/x
  3. Step 3: Cross multiply
    622,172,109.75x = 1,333,088,571.75 × 1,333,088,571.75
  4. Step 4: Simplify right side
    622,172,109.75x = 1,777,125,140,130,454,784
  5. Step 5: Solve for x
    x = 1,777,125,140,130,454,784/622,172,109.75
  6. Step 6: Final answer
    x = 2,856,324,017.55

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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.