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Finding the Third Proportional to 3,382,273,922 and 7,429,675,780

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Solution

The third proportional to 3,382,273,922 and 7,429,675,780 is: 16,320,405,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382,273,922 : 7,429,675,780 = 7,429,675,780 : x
  2. Step 2: Convert to fraction form
    3,382,273,922/7,429,675,780 = 7,429,675,780/x
  3. Step 3: Cross multiply
    3,382,273,922x = 7,429,675,780 × 7,429,675,780
  4. Step 4: Simplify right side
    3,382,273,922x = 55,200,082,195,918,610,432
  5. Step 5: Solve for x
    x = 55,200,082,195,918,610,432/3,382,273,922
  6. Step 6: Final answer
    x = 16,320,405,581.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.