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Finding the Third Proportional to 46,284,059 and 99,533,713

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Solution

The third proportional to 46,284,059 and 99,533,713 is: 214,046,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,059 : 99,533,713 = 99,533,713 : x
  2. Step 2: Convert to fraction form
    46,284,059/99,533,713 = 99,533,713/x
  3. Step 3: Cross multiply
    46,284,059x = 99,533,713 × 99,533,713
  4. Step 4: Simplify right side
    46,284,059x = 9,906,960,023,566,368
  5. Step 5: Solve for x
    x = 9,906,960,023,566,368/46,284,059
  6. Step 6: Final answer
    x = 214,046,914.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.