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Finding the Third Proportional to 11,769,705 and 24,939,495

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Solution

The third proportional to 11,769,705 and 24,939,495 is: 52,845,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769,705 : 24,939,495 = 24,939,495 : x
  2. Step 2: Convert to fraction form
    11,769,705/24,939,495 = 24,939,495/x
  3. Step 3: Cross multiply
    11,769,705x = 24,939,495 × 24,939,495
  4. Step 4: Simplify right side
    11,769,705x = 621,978,410,855,025
  5. Step 5: Solve for x
    x = 621,978,410,855,025/11,769,705
  6. Step 6: Final answer
    x = 52,845,709.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.