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Finding the Third Proportional to 23,473,986 and 50,178,486

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Solution

The third proportional to 23,473,986 and 50,178,486 is: 107,262,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473,986 : 50,178,486 = 50,178,486 : x
  2. Step 2: Convert to fraction form
    23,473,986/50,178,486 = 50,178,486/x
  3. Step 3: Cross multiply
    23,473,986x = 50,178,486 × 50,178,486
  4. Step 4: Simplify right side
    23,473,986x = 2,517,880,457,252,196
  5. Step 5: Solve for x
    x = 2,517,880,457,252,196/23,473,986
  6. Step 6: Final answer
    x = 107,262,586.65

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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.