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Finding the Third Proportional to 9,820,149 and 21,340,071

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Solution

The third proportional to 9,820,149 and 21,340,071 is: 46,373,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820,149 : 21,340,071 = 21,340,071 : x
  2. Step 2: Convert to fraction form
    9,820,149/21,340,071 = 21,340,071/x
  3. Step 3: Cross multiply
    9,820,149x = 21,340,071 × 21,340,071
  4. Step 4: Simplify right side
    9,820,149x = 455,398,630,285,041
  5. Step 5: Solve for x
    x = 455,398,630,285,041/9,820,149
  6. Step 6: Final answer
    x = 46,373,902.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.