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Finding the Third Proportional to 11,696,909.63 and 26,083,321.31

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Solution

The third proportional to 11,696,909.63 and 26,083,321.31 is: 58,164,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696,909.63 : 26,083,321.31 = 26,083,321.31 : x
  2. Step 2: Convert to fraction form
    11,696,909.63/26,083,321.31 = 26,083,321.31/x
  3. Step 3: Cross multiply
    11,696,909.63x = 26,083,321.31 × 26,083,321.31
  4. Step 4: Simplify right side
    11,696,909.63x = 680,339,650,691,116.75
  5. Step 5: Solve for x
    x = 680,339,650,691,116.75/11,696,909.63
  6. Step 6: Final answer
    x = 58,164,051.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.