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Finding the Third Proportional to 4,640,654 and 9,966,811

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Solution

The third proportional to 4,640,654 and 9,966,811 is: 21,405,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,654 : 9,966,811 = 9,966,811 : x
  2. Step 2: Convert to fraction form
    4,640,654/9,966,811 = 9,966,811/x
  3. Step 3: Cross multiply
    4,640,654x = 9,966,811 × 9,966,811
  4. Step 4: Simplify right side
    4,640,654x = 99,337,321,509,721
  5. Step 5: Solve for x
    x = 99,337,321,509,721/4,640,654
  6. Step 6: Final answer
    x = 21,405,888.37

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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.