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Finding the Third Proportional to 340,172,597,580.75 and 728,866,170,771.75

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Solution

The third proportional to 340,172,597,580.75 and 728,866,170,771.75 is: 1,561,695,147,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,172,597,580.75 : 728,866,170,771.75 = 728,866,170,771.75 : x
  2. Step 2: Convert to fraction form
    340,172,597,580.75/728,866,170,771.75 = 728,866,170,771.75/x
  3. Step 3: Cross multiply
    340,172,597,580.75x = 728,866,170,771.75 × 728,866,170,771.75
  4. Step 4: Simplify right side
    340,172,597,580.75x = 531,245,894,895,473,807,851,520
  5. Step 5: Solve for x
    x = 531,245,894,895,473,807,851,520/340,172,597,580.75
  6. Step 6: Final answer
    x = 1,561,695,147,326.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.