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Finding the Third Proportional to 890,106,960 and 1,805,368,704

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Solution

The third proportional to 890,106,960 and 1,805,368,704 is: 3,661,757,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,106,960 : 1,805,368,704 = 1,805,368,704 : x
  2. Step 2: Convert to fraction form
    890,106,960/1,805,368,704 = 1,805,368,704/x
  3. Step 3: Cross multiply
    890,106,960x = 1,805,368,704 × 1,805,368,704
  4. Step 4: Simplify right side
    890,106,960x = 3,259,356,157,382,639,616
  5. Step 5: Solve for x
    x = 3,259,356,157,382,639,616/890,106,960
  6. Step 6: Final answer
    x = 3,661,757,860.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.