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Finding the Third Proportional to 9,021,963 and 19,830,210

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Solution

The third proportional to 9,021,963 and 19,830,210 is: 43,586,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021,963 : 19,830,210 = 19,830,210 : x
  2. Step 2: Convert to fraction form
    9,021,963/19,830,210 = 19,830,210/x
  3. Step 3: Cross multiply
    9,021,963x = 19,830,210 × 19,830,210
  4. Step 4: Simplify right side
    9,021,963x = 393,237,228,644,100
  5. Step 5: Solve for x
    x = 393,237,228,644,100/9,021,963
  6. Step 6: Final answer
    x = 43,586,659.43

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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.