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Finding the Third Proportional to 46,643,614 and 73,162,813

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Solution

The third proportional to 46,643,614 and 73,162,813 is: 114,759,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643,614 : 73,162,813 = 73,162,813 : x
  2. Step 2: Convert to fraction form
    46,643,614/73,162,813 = 73,162,813/x
  3. Step 3: Cross multiply
    46,643,614x = 73,162,813 × 73,162,813
  4. Step 4: Simplify right side
    46,643,614x = 5,352,797,206,072,969
  5. Step 5: Solve for x
    x = 5,352,797,206,072,969/46,643,614
  6. Step 6: Final answer
    x = 114,759,486.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.