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Finding the Third Proportional to 46,557,027 and 109,747,858.50

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Solution

The third proportional to 46,557,027 and 109,747,858.50 is: 258,706,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,027 : 109,747,858.50 = 109,747,858.50 : x
  2. Step 2: Convert to fraction form
    46,557,027/109,747,858.50 = 109,747,858.50/x
  3. Step 3: Cross multiply
    46,557,027x = 109,747,858.50 × 109,747,858.50
  4. Step 4: Simplify right side
    46,557,027x = 12,044,592,445,336,022
  5. Step 5: Solve for x
    x = 12,044,592,445,336,022/46,557,027
  6. Step 6: Final answer
    x = 258,706,219.48

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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.