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Finding the Third Proportional to 10,974,810.23 and 16,303,059.84

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Solution

The third proportional to 10,974,810.23 and 16,303,059.84 is: 24,218,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,810.23 : 16,303,059.84 = 16,303,059.84 : x
  2. Step 2: Convert to fraction form
    10,974,810.23/16,303,059.84 = 16,303,059.84/x
  3. Step 3: Cross multiply
    10,974,810.23x = 16,303,059.84 × 16,303,059.84
  4. Step 4: Simplify right side
    10,974,810.23x = 265,789,760,268,893.78
  5. Step 5: Solve for x
    x = 265,789,760,268,893.78/10,974,810.23
  6. Step 6: Final answer
    x = 24,218,164.56

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Why These Related Problems?

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