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Finding the Third Proportional to 9,971,909 and 21,433,483

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Solution

The third proportional to 9,971,909 and 21,433,483 is: 46,068,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,909 : 21,433,483 = 21,433,483 : x
  2. Step 2: Convert to fraction form
    9,971,909/21,433,483 = 21,433,483/x
  3. Step 3: Cross multiply
    9,971,909x = 21,433,483 × 21,433,483
  4. Step 4: Simplify right side
    9,971,909x = 459,394,193,511,289
  5. Step 5: Solve for x
    x = 459,394,193,511,289/9,971,909
  6. Step 6: Final answer
    x = 46,068,831.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.