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Finding the Third Proportional to 303,702,522 and 453,563,647

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Solution

The third proportional to 303,702,522 and 453,563,647 is: 677,373,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,702,522 : 453,563,647 = 453,563,647 : x
  2. Step 2: Convert to fraction form
    303,702,522/453,563,647 = 453,563,647/x
  3. Step 3: Cross multiply
    303,702,522x = 453,563,647 × 453,563,647
  4. Step 4: Simplify right side
    303,702,522x = 205,719,981,879,940,608
  5. Step 5: Solve for x
    x = 205,719,981,879,940,608/303,702,522
  6. Step 6: Final answer
    x = 677,373,307.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.