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Finding the Third Proportional to 446,075,748.38 and 966,288,739.13

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Solution

The third proportional to 446,075,748.38 and 966,288,739.13 is: 2,093,173,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,075,748.38 : 966,288,739.13 = 966,288,739.13 : x
  2. Step 2: Convert to fraction form
    446,075,748.38/966,288,739.13 = 966,288,739.13/x
  3. Step 3: Cross multiply
    446,075,748.38x = 966,288,739.13 × 966,288,739.13
  4. Step 4: Simplify right side
    446,075,748.38x = 933,713,927,359,782,272
  5. Step 5: Solve for x
    x = 933,713,927,359,782,272/446,075,748.38
  6. Step 6: Final answer
    x = 2,093,173,481.77

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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.