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Finding the Third Proportional to 9,133,920 and 19,645,647

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Solution

The third proportional to 9,133,920 and 19,645,647 is: 42,254,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133,920 : 19,645,647 = 19,645,647 : x
  2. Step 2: Convert to fraction form
    9,133,920/19,645,647 = 19,645,647/x
  3. Step 3: Cross multiply
    9,133,920x = 19,645,647 × 19,645,647
  4. Step 4: Simplify right side
    9,133,920x = 385,951,446,048,609
  5. Step 5: Solve for x
    x = 385,951,446,048,609/9,133,920
  6. Step 6: Final answer
    x = 42,254,743.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.