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Finding the Third Proportional to 383,797,824 and 842,268,576

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Solution

The third proportional to 383,797,824 and 842,268,576 is: 1,848,411,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,797,824 : 842,268,576 = 842,268,576 : x
  2. Step 2: Convert to fraction form
    383,797,824/842,268,576 = 842,268,576/x
  3. Step 3: Cross multiply
    383,797,824x = 842,268,576 × 842,268,576
  4. Step 4: Simplify right side
    383,797,824x = 709,416,354,117,067,776
  5. Step 5: Solve for x
    x = 709,416,354,117,067,776/383,797,824
  6. Step 6: Final answer
    x = 1,848,411,610.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.