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Finding the Third Proportional to 4,474,338,955 and 6,730,188,796

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Solution

The third proportional to 4,474,338,955 and 6,730,188,796 is: 10,123,381,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474,338,955 : 6,730,188,796 = 6,730,188,796 : x
  2. Step 2: Convert to fraction form
    4,474,338,955/6,730,188,796 = 6,730,188,796/x
  3. Step 3: Cross multiply
    4,474,338,955x = 6,730,188,796 × 6,730,188,796
  4. Step 4: Simplify right side
    4,474,338,955x = 45,295,441,229,803,929,600
  5. Step 5: Solve for x
    x = 45,295,441,229,803,929,600/4,474,338,955
  6. Step 6: Final answer
    x = 10,123,381,729.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.