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Finding the Third Proportional to 22,438,720 and 49,148,736

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Solution

The third proportional to 22,438,720 and 49,148,736 is: 107,653,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438,720 : 49,148,736 = 49,148,736 : x
  2. Step 2: Convert to fraction form
    22,438,720/49,148,736 = 49,148,736/x
  3. Step 3: Cross multiply
    22,438,720x = 49,148,736 × 49,148,736
  4. Step 4: Simplify right side
    22,438,720x = 2,415,598,250,397,696
  5. Step 5: Solve for x
    x = 2,415,598,250,397,696/22,438,720
  6. Step 6: Final answer
    x = 107,653,121.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.