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Finding the Third Proportional to 446,075,750.25 and 966,288,742.50

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Solution

The third proportional to 446,075,750.25 and 966,288,742.50 is: 2,093,173,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,075,750.25 : 966,288,742.50 = 966,288,742.50 : x
  2. Step 2: Convert to fraction form
    446,075,750.25/966,288,742.50 = 966,288,742.50/x
  3. Step 3: Cross multiply
    446,075,750.25x = 966,288,742.50 × 966,288,742.50
  4. Step 4: Simplify right side
    446,075,750.25x = 933,713,933,882,231,296
  5. Step 5: Solve for x
    x = 933,713,933,882,231,296/446,075,750.25
  6. Step 6: Final answer
    x = 2,093,173,487.59

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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.