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Finding the Third Proportional to 7,702,082 and 16,263,604

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Solution

The third proportional to 7,702,082 and 16,263,604 is: 34,341,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,082 : 16,263,604 = 16,263,604 : x
  2. Step 2: Convert to fraction form
    7,702,082/16,263,604 = 16,263,604/x
  3. Step 3: Cross multiply
    7,702,082x = 16,263,604 × 16,263,604
  4. Step 4: Simplify right side
    7,702,082x = 264,504,815,068,816
  5. Step 5: Solve for x
    x = 264,504,815,068,816/7,702,082
  6. Step 6: Final answer
    x = 34,341,988.97

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Why These Related Problems?

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