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Finding the Third Proportional to 446,075,745.75 and 966,288,741.75

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Solution

The third proportional to 446,075,745.75 and 966,288,741.75 is: 2,093,173,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,075,745.75 : 966,288,741.75 = 966,288,741.75 : x
  2. Step 2: Convert to fraction form
    446,075,745.75/966,288,741.75 = 966,288,741.75/x
  3. Step 3: Cross multiply
    446,075,745.75x = 966,288,741.75 × 966,288,741.75
  4. Step 4: Simplify right side
    446,075,745.75x = 933,713,932,432,798,208
  5. Step 5: Solve for x
    x = 933,713,932,432,798,208/446,075,745.75
  6. Step 6: Final answer
    x = 2,093,173,505.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.