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Finding the Third Proportional to 9,459,914 and 20,751,128

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Solution

The third proportional to 9,459,914 and 20,751,128 is: 45,519,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,914 : 20,751,128 = 20,751,128 : x
  2. Step 2: Convert to fraction form
    9,459,914/20,751,128 = 20,751,128/x
  3. Step 3: Cross multiply
    9,459,914x = 20,751,128 × 20,751,128
  4. Step 4: Simplify right side
    9,459,914x = 430,609,313,272,384
  5. Step 5: Solve for x
    x = 430,609,313,272,384/9,459,914
  6. Step 6: Final answer
    x = 45,519,368.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.