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Finding the Third Proportional to 10,102,672 and 15,454,680

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Solution

The third proportional to 10,102,672 and 15,454,680 is: 23,641,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,672 : 15,454,680 = 15,454,680 : x
  2. Step 2: Convert to fraction form
    10,102,672/15,454,680 = 15,454,680/x
  3. Step 3: Cross multiply
    10,102,672x = 15,454,680 × 15,454,680
  4. Step 4: Simplify right side
    10,102,672x = 238,847,133,902,400
  5. Step 5: Solve for x
    x = 238,847,133,902,400/10,102,672
  6. Step 6: Final answer
    x = 23,641,976.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.