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Finding the Third Proportional to 5,794,881.75 and 12,598,672.92

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Solution

The third proportional to 5,794,881.75 and 12,598,672.92 is: 27,390,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,881.75 : 12,598,672.92 = 12,598,672.92 : x
  2. Step 2: Convert to fraction form
    5,794,881.75/12,598,672.92 = 12,598,672.92/x
  3. Step 3: Cross multiply
    5,794,881.75x = 12,598,672.92 × 12,598,672.92
  4. Step 4: Simplify right side
    5,794,881.75x = 158,726,559,392,386.34
  5. Step 5: Solve for x
    x = 158,726,559,392,386.34/5,794,881.75
  6. Step 6: Final answer
    x = 27,390,819.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.