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Finding the Third Proportional to 23,029,731 and 49,248,108

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Solution

The third proportional to 23,029,731 and 49,248,108 is: 105,315,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029,731 : 49,248,108 = 49,248,108 : x
  2. Step 2: Convert to fraction form
    23,029,731/49,248,108 = 49,248,108/x
  3. Step 3: Cross multiply
    23,029,731x = 49,248,108 × 49,248,108
  4. Step 4: Simplify right side
    23,029,731x = 2,425,376,141,579,664
  5. Step 5: Solve for x
    x = 2,425,376,141,579,664/23,029,731
  6. Step 6: Final answer
    x = 105,315,000.93

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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.