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Finding the Third Proportional to 11,754,726 and 24,931,736

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Solution

The third proportional to 11,754,726 and 24,931,736 is: 52,880,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,726 : 24,931,736 = 24,931,736 : x
  2. Step 2: Convert to fraction form
    11,754,726/24,931,736 = 24,931,736/x
  3. Step 3: Cross multiply
    11,754,726x = 24,931,736 × 24,931,736
  4. Step 4: Simplify right side
    11,754,726x = 621,591,459,973,696
  5. Step 5: Solve for x
    x = 621,591,459,973,696/11,754,726
  6. Step 6: Final answer
    x = 52,880,131.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.