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Finding the Third Proportional to 23,633,071 and 51,299,534

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Solution

The third proportional to 23,633,071 and 51,299,534 is: 111,354,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633,071 : 51,299,534 = 51,299,534 : x
  2. Step 2: Convert to fraction form
    23,633,071/51,299,534 = 51,299,534/x
  3. Step 3: Cross multiply
    23,633,071x = 51,299,534 × 51,299,534
  4. Step 4: Simplify right side
    23,633,071x = 2,631,642,188,617,156
  5. Step 5: Solve for x
    x = 2,631,642,188,617,156/23,633,071
  6. Step 6: Final answer
    x = 111,354,220.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.