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Finding the Third Proportional to 46,556,997.75 and 109,747,770.75

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Solution

The third proportional to 46,556,997.75 and 109,747,770.75 is: 258,705,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,556,997.75 : 109,747,770.75 = 109,747,770.75 : x
  2. Step 2: Convert to fraction form
    46,556,997.75/109,747,770.75 = 109,747,770.75/x
  3. Step 3: Cross multiply
    46,556,997.75x = 109,747,770.75 × 109,747,770.75
  4. Step 4: Simplify right side
    46,556,997.75x = 12,044,573,184,594,556
  5. Step 5: Solve for x
    x = 12,044,573,184,594,556/46,556,997.75
  6. Step 6: Final answer
    x = 258,705,968.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.