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Finding the Third Proportional to 9,774,143.44 and 12,852,991.41

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Solution

The third proportional to 9,774,143.44 and 12,852,991.41 is: 16,901,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774,143.44 : 12,852,991.41 = 12,852,991.41 : x
  2. Step 2: Convert to fraction form
    9,774,143.44/12,852,991.41 = 12,852,991.41/x
  3. Step 3: Cross multiply
    9,774,143.44x = 12,852,991.41 × 12,852,991.41
  4. Step 4: Simplify right side
    9,774,143.44x = 165,199,388,089,136.34
  5. Step 5: Solve for x
    x = 165,199,388,089,136.34/9,774,143.44
  6. Step 6: Final answer
    x = 16,901,674.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.