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Finding the Third Proportional to 14,588,534 and 33,769,859

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Solution

The third proportional to 14,588,534 and 33,769,859 is: 78,171,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,534 : 33,769,859 = 33,769,859 : x
  2. Step 2: Convert to fraction form
    14,588,534/33,769,859 = 33,769,859/x
  3. Step 3: Cross multiply
    14,588,534x = 33,769,859 × 33,769,859
  4. Step 4: Simplify right side
    14,588,534x = 1,140,403,376,879,881
  5. Step 5: Solve for x
    x = 1,140,403,376,879,881/14,588,534
  6. Step 6: Final answer
    x = 78,171,211.51

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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.