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Finding the Third Proportional to 677,103,741 and 953,511,274.50

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Solution

The third proportional to 677,103,741 and 953,511,274.50 is: 1,342,753,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,103,741 : 953,511,274.50 = 953,511,274.50 : x
  2. Step 2: Convert to fraction form
    677,103,741/953,511,274.50 = 953,511,274.50/x
  3. Step 3: Cross multiply
    677,103,741x = 953,511,274.50 × 953,511,274.50
  4. Step 4: Simplify right side
    677,103,741x = 909,183,750,598,614,400
  5. Step 5: Solve for x
    x = 909,183,750,598,614,400/677,103,741
  6. Step 6: Final answer
    x = 1,342,753,991.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.