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Finding the Third Proportional to 23,029,744 and 49,248,132

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Solution

The third proportional to 23,029,744 and 49,248,132 is: 105,315,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029,744 : 49,248,132 = 49,248,132 : x
  2. Step 2: Convert to fraction form
    23,029,744/49,248,132 = 49,248,132/x
  3. Step 3: Cross multiply
    23,029,744x = 49,248,132 × 49,248,132
  4. Step 4: Simplify right side
    23,029,744x = 2,425,378,505,489,424
  5. Step 5: Solve for x
    x = 2,425,378,505,489,424/23,029,744
  6. Step 6: Final answer
    x = 105,315,044.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.