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Finding the Third Proportional to 1,713,918,868 and 2,413,575,440

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Solution

The third proportional to 1,713,918,868 and 2,413,575,440 is: 3,398,846,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,918,868 : 2,413,575,440 = 2,413,575,440 : x
  2. Step 2: Convert to fraction form
    1,713,918,868/2,413,575,440 = 2,413,575,440/x
  3. Step 3: Cross multiply
    1,713,918,868x = 2,413,575,440 × 2,413,575,440
  4. Step 4: Simplify right side
    1,713,918,868x = 5,825,346,404,571,193,344
  5. Step 5: Solve for x
    x = 5,825,346,404,571,193,344/1,713,918,868
  6. Step 6: Final answer
    x = 3,398,846,067.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.