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Finding the Third Proportional to 889,343,003.25 and 1,931,783,205.38

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Solution

The third proportional to 889,343,003.25 and 1,931,783,205.38 is: 4,196,115,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,343,003.25 : 1,931,783,205.38 = 1,931,783,205.38 : x
  2. Step 2: Convert to fraction form
    889,343,003.25/1,931,783,205.38 = 1,931,783,205.38/x
  3. Step 3: Cross multiply
    889,343,003.25x = 1,931,783,205.38 × 1,931,783,205.38
  4. Step 4: Simplify right side
    889,343,003.25x = 3,731,786,352,568,909,312
  5. Step 5: Solve for x
    x = 3,731,786,352,568,909,312/889,343,003.25
  6. Step 6: Final answer
    x = 4,196,115,940.57

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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.