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Finding the Third Proportional to 7,702,075.88 and 16,263,591.75

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Solution

The third proportional to 7,702,075.88 and 16,263,591.75 is: 34,341,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,075.88 : 16,263,591.75 = 16,263,591.75 : x
  2. Step 2: Convert to fraction form
    7,702,075.88/16,263,591.75 = 16,263,591.75/x
  3. Step 3: Cross multiply
    7,702,075.88x = 16,263,591.75 × 16,263,591.75
  4. Step 4: Simplify right side
    7,702,075.88x = 264,504,416,610,668.06
  5. Step 5: Solve for x
    x = 264,504,416,610,668.06/7,702,075.88
  6. Step 6: Final answer
    x = 34,341,964.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.