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Finding the Third Proportional to 9,407,421 and 19,945,247.63

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Solution

The third proportional to 9,407,421 and 19,945,247.63 is: 42,287,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,421 : 19,945,247.63 = 19,945,247.63 : x
  2. Step 2: Convert to fraction form
    9,407,421/19,945,247.63 = 19,945,247.63/x
  3. Step 3: Cross multiply
    9,407,421x = 19,945,247.63 × 19,945,247.63
  4. Step 4: Simplify right side
    9,407,421x = 397,812,902,822,568.12
  5. Step 5: Solve for x
    x = 397,812,902,822,568.12/9,407,421
  6. Step 6: Final answer
    x = 42,287,137.23

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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.