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Finding the Third Proportional to 5,784,476,038 and 8,145,816,924

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Solution

The third proportional to 5,784,476,038 and 8,145,816,924 is: 11,471,105,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784,476,038 : 8,145,816,924 = 8,145,816,924 : x
  2. Step 2: Convert to fraction form
    5,784,476,038/8,145,816,924 = 8,145,816,924/x
  3. Step 3: Cross multiply
    5,784,476,038x = 8,145,816,924 × 8,145,816,924
  4. Step 4: Simplify right side
    5,784,476,038x = 66,354,333,359,324,823,552
  5. Step 5: Solve for x
    x = 66,354,333,359,324,823,552/5,784,476,038
  6. Step 6: Final answer
    x = 11,471,105,234.67

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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.