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Finding the Third Proportional to 23,029,740 and 49,248,124

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Solution

The third proportional to 23,029,740 and 49,248,124 is: 105,315,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029,740 : 49,248,124 = 49,248,124 : x
  2. Step 2: Convert to fraction form
    23,029,740/49,248,124 = 49,248,124/x
  3. Step 3: Cross multiply
    23,029,740x = 49,248,124 × 49,248,124
  4. Step 4: Simplify right side
    23,029,740x = 2,425,377,717,519,376
  5. Step 5: Solve for x
    x = 2,425,377,717,519,376/23,029,740
  6. Step 6: Final answer
    x = 105,315,028.20

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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.