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Finding the Third Proportional to 13,774,746 and 30,029,676

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Solution

The third proportional to 13,774,746 and 30,029,676 is: 65,466,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774,746 : 30,029,676 = 30,029,676 : x
  2. Step 2: Convert to fraction form
    13,774,746/30,029,676 = 30,029,676/x
  3. Step 3: Cross multiply
    13,774,746x = 30,029,676 × 30,029,676
  4. Step 4: Simplify right side
    13,774,746x = 901,781,440,664,976
  5. Step 5: Solve for x
    x = 901,781,440,664,976/13,774,746
  6. Step 6: Final answer
    x = 65,466,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.