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Finding the Third Proportional to 11,875,744 and 19,652,884

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Solution

The third proportional to 11,875,744 and 19,652,884 is: 32,523,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875,744 : 19,652,884 = 19,652,884 : x
  2. Step 2: Convert to fraction form
    11,875,744/19,652,884 = 19,652,884/x
  3. Step 3: Cross multiply
    11,875,744x = 19,652,884 × 19,652,884
  4. Step 4: Simplify right side
    11,875,744x = 386,235,849,517,456
  5. Step 5: Solve for x
    x = 386,235,849,517,456/11,875,744
  6. Step 6: Final answer
    x = 32,523,086.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.