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Finding the Third Proportional to 11,934,114.75 and 17,677,409.63

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Solution

The third proportional to 11,934,114.75 and 17,677,409.63 is: 26,184,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934,114.75 : 17,677,409.63 = 17,677,409.63 : x
  2. Step 2: Convert to fraction form
    11,934,114.75/17,677,409.63 = 17,677,409.63/x
  3. Step 3: Cross multiply
    11,934,114.75x = 17,677,409.63 × 17,677,409.63
  4. Step 4: Simplify right side
    11,934,114.75x = 312,490,811,050,042.62
  5. Step 5: Solve for x
    x = 312,490,811,050,042.62/11,934,114.75
  6. Step 6: Final answer
    x = 26,184,666.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.