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Finding the Third Proportional to 46,672,563 and 100,823,185.50

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Solution

The third proportional to 46,672,563 and 100,823,185.50 is: 217,800,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672,563 : 100,823,185.50 = 100,823,185.50 : x
  2. Step 2: Convert to fraction form
    46,672,563/100,823,185.50 = 100,823,185.50/x
  3. Step 3: Cross multiply
    46,672,563x = 100,823,185.50 × 100,823,185.50
  4. Step 4: Simplify right side
    46,672,563x = 10,165,314,734,367,410
  5. Step 5: Solve for x
    x = 10,165,314,734,367,410/46,672,563
  6. Step 6: Final answer
    x = 217,800,653.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.