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Finding the Third Proportional to 10,399,752 and 23,189,349

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Solution

The third proportional to 10,399,752 and 23,189,349 is: 51,707,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,752 : 23,189,349 = 23,189,349 : x
  2. Step 2: Convert to fraction form
    10,399,752/23,189,349 = 23,189,349/x
  3. Step 3: Cross multiply
    10,399,752x = 23,189,349 × 23,189,349
  4. Step 4: Simplify right side
    10,399,752x = 537,745,907,043,801
  5. Step 5: Solve for x
    x = 537,745,907,043,801/10,399,752
  6. Step 6: Final answer
    x = 51,707,570.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.