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Finding the Third Proportional to 12,457,764 and 18,852,676

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Solution

The third proportional to 12,457,764 and 18,852,676 is: 28,530,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457,764 : 18,852,676 = 18,852,676 : x
  2. Step 2: Convert to fraction form
    12,457,764/18,852,676 = 18,852,676/x
  3. Step 3: Cross multiply
    12,457,764x = 18,852,676 × 18,852,676
  4. Step 4: Simplify right side
    12,457,764x = 355,423,392,360,976
  5. Step 5: Solve for x
    x = 355,423,392,360,976/12,457,764
  6. Step 6: Final answer
    x = 28,530,271.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.