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Finding the Third Proportional to 1,009,629,376 and 1,550,914,340

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Solution

The third proportional to 1,009,629,376 and 1,550,914,340 is: 2,382,394,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,629,376 : 1,550,914,340 = 1,550,914,340 : x
  2. Step 2: Convert to fraction form
    1,009,629,376/1,550,914,340 = 1,550,914,340/x
  3. Step 3: Cross multiply
    1,009,629,376x = 1,550,914,340 × 1,550,914,340
  4. Step 4: Simplify right side
    1,009,629,376x = 2,405,335,290,017,635,840
  5. Step 5: Solve for x
    x = 2,405,335,290,017,635,840/1,009,629,376
  6. Step 6: Final answer
    x = 2,382,394,319.34

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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.