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Finding the Third Proportional to 5,784,476,031 and 8,145,816,918

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Solution

The third proportional to 5,784,476,031 and 8,145,816,918 is: 11,471,105,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784,476,031 : 8,145,816,918 = 8,145,816,918 : x
  2. Step 2: Convert to fraction form
    5,784,476,031/8,145,816,918 = 8,145,816,918/x
  3. Step 3: Cross multiply
    5,784,476,031x = 8,145,816,918 × 8,145,816,918
  4. Step 4: Simplify right side
    5,784,476,031x = 66,354,333,261,575,020,544
  5. Step 5: Solve for x
    x = 66,354,333,261,575,020,544/5,784,476,031
  6. Step 6: Final answer
    x = 11,471,105,231.65

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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.