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Finding the Third Proportional to 3,045,701,172 and 4,109,365,992

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Solution

The third proportional to 3,045,701,172 and 4,109,365,992 is: 5,544,499,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045,701,172 : 4,109,365,992 = 4,109,365,992 : x
  2. Step 2: Convert to fraction form
    3,045,701,172/4,109,365,992 = 4,109,365,992/x
  3. Step 3: Cross multiply
    3,045,701,172x = 4,109,365,992 × 4,109,365,992
  4. Step 4: Simplify right side
    3,045,701,172x = 16,886,888,856,206,143,488
  5. Step 5: Solve for x
    x = 16,886,888,856,206,143,488/3,045,701,172
  6. Step 6: Final answer
    x = 5,544,499,575.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.