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Finding the Third Proportional to 9,649,838 and 21,218,768

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Solution

The third proportional to 9,649,838 and 21,218,768 is: 46,657,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649,838 : 21,218,768 = 21,218,768 : x
  2. Step 2: Convert to fraction form
    9,649,838/21,218,768 = 21,218,768/x
  3. Step 3: Cross multiply
    9,649,838x = 21,218,768 × 21,218,768
  4. Step 4: Simplify right side
    9,649,838x = 450,236,115,437,824
  5. Step 5: Solve for x
    x = 450,236,115,437,824/9,649,838
  6. Step 6: Final answer
    x = 46,657,375.54

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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.