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Finding the Third Proportional to 446,075,753.25 and 966,288,748.50

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Solution

The third proportional to 446,075,753.25 and 966,288,748.50 is: 2,093,173,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,075,753.25 : 966,288,748.50 = 966,288,748.50 : x
  2. Step 2: Convert to fraction form
    446,075,753.25/966,288,748.50 = 966,288,748.50/x
  3. Step 3: Cross multiply
    446,075,753.25x = 966,288,748.50 × 966,288,748.50
  4. Step 4: Simplify right side
    446,075,753.25x = 933,713,945,477,696,256
  5. Step 5: Solve for x
    x = 933,713,945,477,696,256/446,075,753.25
  6. Step 6: Final answer
    x = 2,093,173,499.51

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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.