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Finding the Third Proportional to 1,987,863,095 and 4,324,788,886

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Solution

The third proportional to 1,987,863,095 and 4,324,788,886 is: 9,408,997,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,863,095 : 4,324,788,886 = 4,324,788,886 : x
  2. Step 2: Convert to fraction form
    1,987,863,095/4,324,788,886 = 4,324,788,886/x
  3. Step 3: Cross multiply
    1,987,863,095x = 4,324,788,886 × 4,324,788,886
  4. Step 4: Simplify right side
    1,987,863,095x = 18,703,798,908,469,121,024
  5. Step 5: Solve for x
    x = 18,703,798,908,469,121,024/1,987,863,095
  6. Step 6: Final answer
    x = 9,408,997,508.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.