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Finding the Third Proportional to 486,762,961,784 and 1,040,514,421,744

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Solution

The third proportional to 486,762,961,784 and 1,040,514,421,744 is: 2,224,224,821,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,762,961,784 : 1,040,514,421,744 = 1,040,514,421,744 : x
  2. Step 2: Convert to fraction form
    486,762,961,784/1,040,514,421,744 = 1,040,514,421,744/x
  3. Step 3: Cross multiply
    486,762,961,784x = 1,040,514,421,744 × 1,040,514,421,744
  4. Step 4: Simplify right side
    486,762,961,784x = 1,082,670,261,857,250,669,756,416
  5. Step 5: Solve for x
    x = 1,082,670,261,857,250,669,756,416/486,762,961,784
  6. Step 6: Final answer
    x = 2,224,224,821,644.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.