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Finding the Third Proportional to 965,833,794 and 2,094,996,636

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Solution

The third proportional to 965,833,794 and 2,094,996,636 is: 4,544,271,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,833,794 : 2,094,996,636 = 2,094,996,636 : x
  2. Step 2: Convert to fraction form
    965,833,794/2,094,996,636 = 2,094,996,636/x
  3. Step 3: Cross multiply
    965,833,794x = 2,094,996,636 × 2,094,996,636
  4. Step 4: Simplify right side
    965,833,794x = 4,389,010,904,851,316,736
  5. Step 5: Solve for x
    x = 4,389,010,904,851,316,736/965,833,794
  6. Step 6: Final answer
    x = 4,544,271,418.25

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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.