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Finding the Third Proportional to 24,549,096 and 36,823,644

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Solution

The third proportional to 24,549,096 and 36,823,644 is: 55,235,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549,096 : 36,823,644 = 36,823,644 : x
  2. Step 2: Convert to fraction form
    24,549,096/36,823,644 = 36,823,644/x
  3. Step 3: Cross multiply
    24,549,096x = 36,823,644 × 36,823,644
  4. Step 4: Simplify right side
    24,549,096x = 1,355,980,757,438,736
  5. Step 5: Solve for x
    x = 1,355,980,757,438,736/24,549,096
  6. Step 6: Final answer
    x = 55,235,466

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.