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Finding the Third Proportional to 1,009,629,374 and 1,550,914,337

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Solution

The third proportional to 1,009,629,374 and 1,550,914,337 is: 2,382,394,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,629,374 : 1,550,914,337 = 1,550,914,337 : x
  2. Step 2: Convert to fraction form
    1,009,629,374/1,550,914,337 = 1,550,914,337/x
  3. Step 3: Cross multiply
    1,009,629,374x = 1,550,914,337 × 1,550,914,337
  4. Step 4: Simplify right side
    1,009,629,374x = 2,405,335,280,712,149,504
  5. Step 5: Solve for x
    x = 2,405,335,280,712,149,504/1,009,629,374
  6. Step 6: Final answer
    x = 2,382,394,314.84

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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.