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Finding the Third Proportional to 9,651,382.88 and 20,096,646.75

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Solution

The third proportional to 9,651,382.88 and 20,096,646.75 is: 41,846,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651,382.88 : 20,096,646.75 = 20,096,646.75 : x
  2. Step 2: Convert to fraction form
    9,651,382.88/20,096,646.75 = 20,096,646.75/x
  3. Step 3: Cross multiply
    9,651,382.88x = 20,096,646.75 × 20,096,646.75
  4. Step 4: Simplify right side
    9,651,382.88x = 403,875,210,594,285.56
  5. Step 5: Solve for x
    x = 403,875,210,594,285.56/9,651,382.88
  6. Step 6: Final answer
    x = 41,846,356.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.