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Finding the Third Proportional to 9,842,654 and 21,621,100

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Solution

The third proportional to 9,842,654 and 21,621,100 is: 47,494,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842,654 : 21,621,100 = 21,621,100 : x
  2. Step 2: Convert to fraction form
    9,842,654/21,621,100 = 21,621,100/x
  3. Step 3: Cross multiply
    9,842,654x = 21,621,100 × 21,621,100
  4. Step 4: Simplify right side
    9,842,654x = 467,471,965,210,000
  5. Step 5: Solve for x
    x = 467,471,965,210,000/9,842,654
  6. Step 6: Final answer
    x = 47,494,503.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.