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Finding the Third Proportional to 450,030,296 and 676,243,650

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Solution

The third proportional to 450,030,296 and 676,243,650 is: 1,016,165,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,030,296 : 676,243,650 = 676,243,650 : x
  2. Step 2: Convert to fraction form
    450,030,296/676,243,650 = 676,243,650/x
  3. Step 3: Cross multiply
    450,030,296x = 676,243,650 × 676,243,650
  4. Step 4: Simplify right side
    450,030,296x = 457,305,474,165,322,496
  5. Step 5: Solve for x
    x = 457,305,474,165,322,496/450,030,296
  6. Step 6: Final answer
    x = 1,016,165,974.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.