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Finding the Third Proportional to 49,424,696 and 102,939,970

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Solution

The third proportional to 49,424,696 and 102,939,970 is: 214,399,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424,696 : 102,939,970 = 102,939,970 : x
  2. Step 2: Convert to fraction form
    49,424,696/102,939,970 = 102,939,970/x
  3. Step 3: Cross multiply
    49,424,696x = 102,939,970 × 102,939,970
  4. Step 4: Simplify right side
    49,424,696x = 10,596,637,423,600,900
  5. Step 5: Solve for x
    x = 10,596,637,423,600,900/49,424,696
  6. Step 6: Final answer
    x = 214,399,647.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.