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Finding the Third Proportional to 227,619,446.63 and 537,147,941.06

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Solution

The third proportional to 227,619,446.63 and 537,147,941.06 is: 1,267,589,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,619,446.63 : 537,147,941.06 = 537,147,941.06 : x
  2. Step 2: Convert to fraction form
    227,619,446.63/537,147,941.06 = 537,147,941.06/x
  3. Step 3: Cross multiply
    227,619,446.63x = 537,147,941.06 × 537,147,941.06
  4. Step 4: Simplify right side
    227,619,446.63x = 288,527,910,587,682,944
  5. Step 5: Solve for x
    x = 288,527,910,587,682,944/227,619,446.63
  6. Step 6: Final answer
    x = 1,267,589,016.96

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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.