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Finding the Third Proportional to 1,009,629,378 and 1,550,914,343

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Solution

The third proportional to 1,009,629,378 and 1,550,914,343 is: 2,382,394,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,629,378 : 1,550,914,343 = 1,550,914,343 : x
  2. Step 2: Convert to fraction form
    1,009,629,378/1,550,914,343 = 1,550,914,343/x
  3. Step 3: Cross multiply
    1,009,629,378x = 1,550,914,343 × 1,550,914,343
  4. Step 4: Simplify right side
    1,009,629,378x = 2,405,335,299,323,121,664
  5. Step 5: Solve for x
    x = 2,405,335,299,323,121,664/1,009,629,378
  6. Step 6: Final answer
    x = 2,382,394,323.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.