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Finding the Third Proportional to 444,679,283 and 965,907,596

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Solution

The third proportional to 444,679,283 and 965,907,596 is: 2,098,090,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,679,283 : 965,907,596 = 965,907,596 : x
  2. Step 2: Convert to fraction form
    444,679,283/965,907,596 = 965,907,596/x
  3. Step 3: Cross multiply
    444,679,283x = 965,907,596 × 965,907,596
  4. Step 4: Simplify right side
    444,679,283x = 932,977,484,010,499,200
  5. Step 5: Solve for x
    x = 932,977,484,010,499,200/444,679,283
  6. Step 6: Final answer
    x = 2,098,090,735.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.