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Finding the Third Proportional to 9,444,276 and 20,023,512

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Solution

The third proportional to 9,444,276 and 20,023,512 is: 42,453,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444,276 : 20,023,512 = 20,023,512 : x
  2. Step 2: Convert to fraction form
    9,444,276/20,023,512 = 20,023,512/x
  3. Step 3: Cross multiply
    9,444,276x = 20,023,512 × 20,023,512
  4. Step 4: Simplify right side
    9,444,276x = 400,941,032,814,144
  5. Step 5: Solve for x
    x = 400,941,032,814,144/9,444,276
  6. Step 6: Final answer
    x = 42,453,337.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.