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Finding the Third Proportional to 444,671,525.25 and 965,891,651.63

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Solution

The third proportional to 444,671,525.25 and 965,891,651.63 is: 2,098,058,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,671,525.25 : 965,891,651.63 = 965,891,651.63 : x
  2. Step 2: Convert to fraction form
    444,671,525.25/965,891,651.63 = 965,891,651.63/x
  3. Step 3: Cross multiply
    444,671,525.25x = 965,891,651.63 × 965,891,651.63
  4. Step 4: Simplify right side
    444,671,525.25x = 932,946,682,678,870,400
  5. Step 5: Solve for x
    x = 932,946,682,678,870,400/444,671,525.25
  6. Step 6: Final answer
    x = 2,098,058,071.41

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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.