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Finding the Third Proportional to 9,415,876 and 19,961,844

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Solution

The third proportional to 9,415,876 and 19,961,844 is: 42,319,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415,876 : 19,961,844 = 19,961,844 : x
  2. Step 2: Convert to fraction form
    9,415,876/19,961,844 = 19,961,844/x
  3. Step 3: Cross multiply
    9,415,876x = 19,961,844 × 19,961,844
  4. Step 4: Simplify right side
    9,415,876x = 398,475,215,880,336
  5. Step 5: Solve for x
    x = 398,475,215,880,336/9,415,876
  6. Step 6: Final answer
    x = 42,319,505.47

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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.