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Finding the Third Proportional to 13,474,216 and 20,711,046

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Solution

The third proportional to 13,474,216 and 20,711,046 is: 31,834,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474,216 : 20,711,046 = 20,711,046 : x
  2. Step 2: Convert to fraction form
    13,474,216/20,711,046 = 20,711,046/x
  3. Step 3: Cross multiply
    13,474,216x = 20,711,046 × 20,711,046
  4. Step 4: Simplify right side
    13,474,216x = 428,947,426,414,116
  5. Step 5: Solve for x
    x = 428,947,426,414,116/13,474,216
  6. Step 6: Final answer
    x = 31,834,685.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.