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Finding the Third Proportional to 446,075,748.50 and 966,288,740

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Solution

The third proportional to 446,075,748.50 and 966,288,740 is: 2,093,173,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,075,748.50 : 966,288,740 = 966,288,740 : x
  2. Step 2: Convert to fraction form
    446,075,748.50/966,288,740 = 966,288,740/x
  3. Step 3: Cross multiply
    446,075,748.50x = 966,288,740 × 966,288,740
  4. Step 4: Simplify right side
    446,075,748.50x = 933,713,929,050,787,584
  5. Step 5: Solve for x
    x = 933,713,929,050,787,584/446,075,748.50
  6. Step 6: Final answer
    x = 2,093,173,484.98

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