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Finding the Third Proportional to 7,852,491.75 and 11,731,829.63

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Solution

The third proportional to 7,852,491.75 and 11,731,829.63 is: 17,527,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,491.75 : 11,731,829.63 = 11,731,829.63 : x
  2. Step 2: Convert to fraction form
    7,852,491.75/11,731,829.63 = 11,731,829.63/x
  3. Step 3: Cross multiply
    7,852,491.75x = 11,731,829.63 × 11,731,829.63
  4. Step 4: Simplify right side
    7,852,491.75x = 137,635,826,350,027.64
  5. Step 5: Solve for x
    x = 137,635,826,350,027.64/7,852,491.75
  6. Step 6: Final answer
    x = 17,527,662.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.