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Finding the Third Proportional to 9,642,561 and 20,592,852

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Solution

The third proportional to 9,642,561 and 20,592,852 is: 43,978,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642,561 : 20,592,852 = 20,592,852 : x
  2. Step 2: Convert to fraction form
    9,642,561/20,592,852 = 20,592,852/x
  3. Step 3: Cross multiply
    9,642,561x = 20,592,852 × 20,592,852
  4. Step 4: Simplify right side
    9,642,561x = 424,065,553,493,904
  5. Step 5: Solve for x
    x = 424,065,553,493,904/9,642,561
  6. Step 6: Final answer
    x = 43,978,519.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.