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Finding the Third Proportional to 22,823,242 and 49,241,716

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Solution

The third proportional to 22,823,242 and 49,241,716 is: 106,240,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823,242 : 49,241,716 = 49,241,716 : x
  2. Step 2: Convert to fraction form
    22,823,242/49,241,716 = 49,241,716/x
  3. Step 3: Cross multiply
    22,823,242x = 49,241,716 × 49,241,716
  4. Step 4: Simplify right side
    22,823,242x = 2,424,746,594,624,656
  5. Step 5: Solve for x
    x = 2,424,746,594,624,656/22,823,242
  6. Step 6: Final answer
    x = 106,240,235.05

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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.