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Finding the Third Proportional to 9,951,669 and 21,286,966

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Solution

The third proportional to 9,951,669 and 21,286,966 is: 45,533,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951,669 : 21,286,966 = 21,286,966 : x
  2. Step 2: Convert to fraction form
    9,951,669/21,286,966 = 21,286,966/x
  3. Step 3: Cross multiply
    9,951,669x = 21,286,966 × 21,286,966
  4. Step 4: Simplify right side
    9,951,669x = 453,134,921,485,156
  5. Step 5: Solve for x
    x = 453,134,921,485,156/9,951,669
  6. Step 6: Final answer
    x = 45,533,560.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.