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Finding the Third Proportional to 396,669,636 and 857,077,200

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Solution

The third proportional to 396,669,636 and 857,077,200 is: 1,851,871,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,669,636 : 857,077,200 = 857,077,200 : x
  2. Step 2: Convert to fraction form
    396,669,636/857,077,200 = 857,077,200/x
  3. Step 3: Cross multiply
    396,669,636x = 857,077,200 × 857,077,200
  4. Step 4: Simplify right side
    396,669,636x = 734,581,326,759,840,000
  5. Step 5: Solve for x
    x = 734,581,326,759,840,000/396,669,636
  6. Step 6: Final answer
    x = 1,851,871,835.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.