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Finding the Third Proportional to 5,229,765 and 11,328,153

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Solution

The third proportional to 5,229,765 and 11,328,153 is: 24,537,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,765 : 11,328,153 = 11,328,153 : x
  2. Step 2: Convert to fraction form
    5,229,765/11,328,153 = 11,328,153/x
  3. Step 3: Cross multiply
    5,229,765x = 11,328,153 × 11,328,153
  4. Step 4: Simplify right side
    5,229,765x = 128,327,050,391,409
  5. Step 5: Solve for x
    x = 128,327,050,391,409/5,229,765
  6. Step 6: Final answer
    x = 24,537,823.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.