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Finding the Third Proportional to 22,684,713 and 49,778,418

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Solution

The third proportional to 22,684,713 and 49,778,418 is: 109,231,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684,713 : 49,778,418 = 49,778,418 : x
  2. Step 2: Convert to fraction form
    22,684,713/49,778,418 = 49,778,418/x
  3. Step 3: Cross multiply
    22,684,713x = 49,778,418 × 49,778,418
  4. Step 4: Simplify right side
    22,684,713x = 2,477,890,898,582,724
  5. Step 5: Solve for x
    x = 2,477,890,898,582,724/22,684,713
  6. Step 6: Final answer
    x = 109,231,749.97

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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.