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Finding the Third Proportional to 1,259,408,864 and 1,975,461,888

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Solution

The third proportional to 1,259,408,864 and 1,975,461,888 is: 3,098,636,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,408,864 : 1,975,461,888 = 1,975,461,888 : x
  2. Step 2: Convert to fraction form
    1,259,408,864/1,975,461,888 = 1,975,461,888/x
  3. Step 3: Cross multiply
    1,259,408,864x = 1,975,461,888 × 1,975,461,888
  4. Step 4: Simplify right side
    1,259,408,864x = 3,902,449,670,940,524,544
  5. Step 5: Solve for x
    x = 3,902,449,670,940,524,544/1,259,408,864
  6. Step 6: Final answer
    x = 3,098,636,020.83

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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.