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Finding the Third Proportional to 9,318,732 and 19,932,838

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Solution

The third proportional to 9,318,732 and 19,932,838 is: 42,636,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318,732 : 19,932,838 = 19,932,838 : x
  2. Step 2: Convert to fraction form
    9,318,732/19,932,838 = 19,932,838/x
  3. Step 3: Cross multiply
    9,318,732x = 19,932,838 × 19,932,838
  4. Step 4: Simplify right side
    9,318,732x = 397,318,030,734,244
  5. Step 5: Solve for x
    x = 397,318,030,734,244/9,318,732
  6. Step 6: Final answer
    x = 42,636,490.75

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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.