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Finding the Third Proportional to 9,435,867 and 20,638,009

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Solution

The third proportional to 9,435,867 and 20,638,009 is: 45,139,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,867 : 20,638,009 = 20,638,009 : x
  2. Step 2: Convert to fraction form
    9,435,867/20,638,009 = 20,638,009/x
  3. Step 3: Cross multiply
    9,435,867x = 20,638,009 × 20,638,009
  4. Step 4: Simplify right side
    9,435,867x = 425,927,415,484,081
  5. Step 5: Solve for x
    x = 425,927,415,484,081/9,435,867
  6. Step 6: Final answer
    x = 45,139,192.35

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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.