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Finding the Third Proportional to 9,909,009 and 21,766,635

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Solution

The third proportional to 9,909,009 and 21,766,635 is: 47,813,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,009 : 21,766,635 = 21,766,635 : x
  2. Step 2: Convert to fraction form
    9,909,009/21,766,635 = 21,766,635/x
  3. Step 3: Cross multiply
    9,909,009x = 21,766,635 × 21,766,635
  4. Step 4: Simplify right side
    9,909,009x = 473,786,399,223,225
  5. Step 5: Solve for x
    x = 473,786,399,223,225/9,909,009
  6. Step 6: Final answer
    x = 47,813,701.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.