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Finding the Third Proportional to 10,382,652 and 22,362,768

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Solution

The third proportional to 10,382,652 and 22,362,768 is: 48,166,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,652 : 22,362,768 = 22,362,768 : x
  2. Step 2: Convert to fraction form
    10,382,652/22,362,768 = 22,362,768/x
  3. Step 3: Cross multiply
    10,382,652x = 22,362,768 × 22,362,768
  4. Step 4: Simplify right side
    10,382,652x = 500,093,392,621,824
  5. Step 5: Solve for x
    x = 500,093,392,621,824/10,382,652
  6. Step 6: Final answer
    x = 48,166,248.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.