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Finding the Third Proportional to 2,363,106 and 5,062,466

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Solution

The third proportional to 2,363,106 and 5,062,466 is: 10,845,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,106 : 5,062,466 = 5,062,466 : x
  2. Step 2: Convert to fraction form
    2,363,106/5,062,466 = 5,062,466/x
  3. Step 3: Cross multiply
    2,363,106x = 5,062,466 × 5,062,466
  4. Step 4: Simplify right side
    2,363,106x = 25,628,562,001,156
  5. Step 5: Solve for x
    x = 25,628,562,001,156/2,363,106
  6. Step 6: Final answer
    x = 10,845,286.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.