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Finding the Third Proportional to 184,556,946 and 435,664,311

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Solution

The third proportional to 184,556,946 and 435,664,311 is: 1,028,427,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,556,946 : 435,664,311 = 435,664,311 : x
  2. Step 2: Convert to fraction form
    184,556,946/435,664,311 = 435,664,311/x
  3. Step 3: Cross multiply
    184,556,946x = 435,664,311 × 435,664,311
  4. Step 4: Simplify right side
    184,556,946x = 189,803,391,879,104,736
  5. Step 5: Solve for x
    x = 189,803,391,879,104,736/184,556,946
  6. Step 6: Final answer
    x = 1,028,427,246.94

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