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Finding the Third Proportional to 361,211,914 and 791,432,426

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Solution

The third proportional to 361,211,914 and 791,432,426 is: 1,734,065,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,211,914 : 791,432,426 = 791,432,426 : x
  2. Step 2: Convert to fraction form
    361,211,914/791,432,426 = 791,432,426/x
  3. Step 3: Cross multiply
    361,211,914x = 791,432,426 × 791,432,426
  4. Step 4: Simplify right side
    361,211,914x = 626,365,284,924,245,504
  5. Step 5: Solve for x
    x = 626,365,284,924,245,504/361,211,914
  6. Step 6: Final answer
    x = 1,734,065,961.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.