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Finding the Third Proportional to 14,588,516 and 33,769,791

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Solution

The third proportional to 14,588,516 and 33,769,791 is: 78,170,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,516 : 33,769,791 = 33,769,791 : x
  2. Step 2: Convert to fraction form
    14,588,516/33,769,791 = 33,769,791/x
  3. Step 3: Cross multiply
    14,588,516x = 33,769,791 × 33,769,791
  4. Step 4: Simplify right side
    14,588,516x = 1,140,398,784,183,681
  5. Step 5: Solve for x
    x = 1,140,398,784,183,681/14,588,516
  6. Step 6: Final answer
    x = 78,170,993.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.