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Finding the Third Proportional to 5,230,599 and 11,286,909

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Solution

The third proportional to 5,230,599 and 11,286,909 is: 24,355,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,599 : 11,286,909 = 11,286,909 : x
  2. Step 2: Convert to fraction form
    5,230,599/11,286,909 = 11,286,909/x
  3. Step 3: Cross multiply
    5,230,599x = 11,286,909 × 11,286,909
  4. Step 4: Simplify right side
    5,230,599x = 127,394,314,774,281
  5. Step 5: Solve for x
    x = 127,394,314,774,281/5,230,599
  6. Step 6: Final answer
    x = 24,355,588.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.