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Finding the Third Proportional to 7,840,471.50 and 16,815,933

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Solution

The third proportional to 7,840,471.50 and 16,815,933 is: 36,066,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840,471.50 : 16,815,933 = 16,815,933 : x
  2. Step 2: Convert to fraction form
    7,840,471.50/16,815,933 = 16,815,933/x
  3. Step 3: Cross multiply
    7,840,471.50x = 16,815,933 × 16,815,933
  4. Step 4: Simplify right side
    7,840,471.50x = 282,775,602,660,489
  5. Step 5: Solve for x
    x = 282,775,602,660,489/7,840,471.50
  6. Step 6: Final answer
    x = 36,066,147.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.