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Finding the Third Proportional to 14,362,908.94 and 21,493,474.97

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Solution

The third proportional to 14,362,908.94 and 21,493,474.97 is: 32,164,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362,908.94 : 21,493,474.97 = 21,493,474.97 : x
  2. Step 2: Convert to fraction form
    14,362,908.94/21,493,474.97 = 21,493,474.97/x
  3. Step 3: Cross multiply
    14,362,908.94x = 21,493,474.97 × 21,493,474.97
  4. Step 4: Simplify right side
    14,362,908.94x = 461,969,466,232,282.81
  5. Step 5: Solve for x
    x = 461,969,466,232,282.81/14,362,908.94
  6. Step 6: Final answer
    x = 32,164,060.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.