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Finding the Third Proportional to 448,585,132,594.50 and 965,206,483,942.50

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Solution

The third proportional to 448,585,132,594.50 and 965,206,483,942.50 is: 2,076,804,354,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,585,132,594.50 : 965,206,483,942.50 = 965,206,483,942.50 : x
  2. Step 2: Convert to fraction form
    448,585,132,594.50/965,206,483,942.50 = 965,206,483,942.50/x
  3. Step 3: Cross multiply
    448,585,132,594.50x = 965,206,483,942.50 × 965,206,483,942.50
  4. Step 4: Simplify right side
    448,585,132,594.50x = 931,623,556,644,643,530,604,544
  5. Step 5: Solve for x
    x = 931,623,556,644,643,530,604,544/448,585,132,594.50
  6. Step 6: Final answer
    x = 2,076,804,354,295.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.