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Finding the Third Proportional to 11,730,600 and 24,533,766

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Solution

The third proportional to 11,730,600 and 24,533,766 is: 51,310,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730,600 : 24,533,766 = 24,533,766 : x
  2. Step 2: Convert to fraction form
    11,730,600/24,533,766 = 24,533,766/x
  3. Step 3: Cross multiply
    11,730,600x = 24,533,766 × 24,533,766
  4. Step 4: Simplify right side
    11,730,600x = 601,905,674,142,756
  5. Step 5: Solve for x
    x = 601,905,674,142,756/11,730,600
  6. Step 6: Final answer
    x = 51,310,732.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.