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Finding the Third Proportional to 365,388,943.50 and 852,603,643.50

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Solution

The third proportional to 365,388,943.50 and 852,603,643.50 is: 1,989,477,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,943.50 : 852,603,643.50 = 852,603,643.50 : x
  2. Step 2: Convert to fraction form
    365,388,943.50/852,603,643.50 = 852,603,643.50/x
  3. Step 3: Cross multiply
    365,388,943.50x = 852,603,643.50 × 852,603,643.50
  4. Step 4: Simplify right side
    365,388,943.50x = 726,932,972,909,475,072
  5. Step 5: Solve for x
    x = 726,932,972,909,475,072/365,388,943.50
  6. Step 6: Final answer
    x = 1,989,477,201.87

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.