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Finding the Third Proportional to 46,287,448,450 and 100,465,732,868

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Solution

The third proportional to 46,287,448,450 and 100,465,732,868 is: 218,058,325,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287,448,450 : 100,465,732,868 = 100,465,732,868 : x
  2. Step 2: Convert to fraction form
    46,287,448,450/100,465,732,868 = 100,465,732,868/x
  3. Step 3: Cross multiply
    46,287,448,450x = 100,465,732,868 × 100,465,732,868
  4. Step 4: Simplify right side
    46,287,448,450x = 10,093,363,480,704,336,265,216
  5. Step 5: Solve for x
    x = 10,093,363,480,704,336,265,216/46,287,448,450
  6. Step 6: Final answer
    x = 218,058,325,068.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.