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Finding the Third Proportional to 4,198,779,837 and 9,020,669,949

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Solution

The third proportional to 4,198,779,837 and 9,020,669,949 is: 19,380,031,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,779,837 : 9,020,669,949 = 9,020,669,949 : x
  2. Step 2: Convert to fraction form
    4,198,779,837/9,020,669,949 = 9,020,669,949/x
  3. Step 3: Cross multiply
    4,198,779,837x = 9,020,669,949 × 9,020,669,949
  4. Step 4: Simplify right side
    4,198,779,837x = 81,372,486,328,791,662,592
  5. Step 5: Solve for x
    x = 81,372,486,328,791,662,592/4,198,779,837
  6. Step 6: Final answer
    x = 19,380,031,696.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.