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Finding the Third Proportional to 9,534,610 and 20,851,774

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Solution

The third proportional to 9,534,610 and 20,851,774 is: 45,601,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534,610 : 20,851,774 = 20,851,774 : x
  2. Step 2: Convert to fraction form
    9,534,610/20,851,774 = 20,851,774/x
  3. Step 3: Cross multiply
    9,534,610x = 20,851,774 × 20,851,774
  4. Step 4: Simplify right side
    9,534,610x = 434,796,478,947,076
  5. Step 5: Solve for x
    x = 434,796,478,947,076/9,534,610
  6. Step 6: Final answer
    x = 45,601,915.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.