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Finding the Third Proportional to 49,296,710 and 106,387,834

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Solution

The third proportional to 49,296,710 and 106,387,834 is: 229,596,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,710 : 106,387,834 = 106,387,834 : x
  2. Step 2: Convert to fraction form
    49,296,710/106,387,834 = 106,387,834/x
  3. Step 3: Cross multiply
    49,296,710x = 106,387,834 × 106,387,834
  4. Step 4: Simplify right side
    49,296,710x = 11,318,371,223,211,556
  5. Step 5: Solve for x
    x = 11,318,371,223,211,556/49,296,710
  6. Step 6: Final answer
    x = 229,596,888.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.