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Finding the Third Proportional to 1,259,408,868 and 1,975,461,894

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Solution

The third proportional to 1,259,408,868 and 1,975,461,894 is: 3,098,636,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,408,868 : 1,975,461,894 = 1,975,461,894 : x
  2. Step 2: Convert to fraction form
    1,259,408,868/1,975,461,894 = 1,975,461,894/x
  3. Step 3: Cross multiply
    1,259,408,868x = 1,975,461,894 × 1,975,461,894
  4. Step 4: Simplify right side
    1,259,408,868x = 3,902,449,694,646,067,200
  5. Step 5: Solve for x
    x = 3,902,449,694,646,067,200/1,259,408,868
  6. Step 6: Final answer
    x = 3,098,636,029.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.