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Finding the Third Proportional to 980,488,215 and 2,100,855,942

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Solution

The third proportional to 980,488,215 and 2,100,855,942 is: 4,501,426,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,488,215 : 2,100,855,942 = 2,100,855,942 : x
  2. Step 2: Convert to fraction form
    980,488,215/2,100,855,942 = 2,100,855,942/x
  3. Step 3: Cross multiply
    980,488,215x = 2,100,855,942 × 2,100,855,942
  4. Step 4: Simplify right side
    980,488,215x = 4,413,595,689,036,707,328
  5. Step 5: Solve for x
    x = 4,413,595,689,036,707,328/980,488,215
  6. Step 6: Final answer
    x = 4,501,426,556.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.