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Finding the Third Proportional to 874,734,713 and 1,927,768,215

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Solution

The third proportional to 874,734,713 and 1,927,768,215 is: 4,248,476,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,734,713 : 1,927,768,215 = 1,927,768,215 : x
  2. Step 2: Convert to fraction form
    874,734,713/1,927,768,215 = 1,927,768,215/x
  3. Step 3: Cross multiply
    874,734,713x = 1,927,768,215 × 1,927,768,215
  4. Step 4: Simplify right side
    874,734,713x = 3,716,290,290,764,286,464
  5. Step 5: Solve for x
    x = 3,716,290,290,764,286,464/874,734,713
  6. Step 6: Final answer
    x = 4,248,476,978.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.