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Finding the Third Proportional to 6,333,346 and 13,288,772

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Solution

The third proportional to 6,333,346 and 13,288,772 is: 27,882,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333,346 : 13,288,772 = 13,288,772 : x
  2. Step 2: Convert to fraction form
    6,333,346/13,288,772 = 13,288,772/x
  3. Step 3: Cross multiply
    6,333,346x = 13,288,772 × 13,288,772
  4. Step 4: Simplify right side
    6,333,346x = 176,591,461,267,984
  5. Step 5: Solve for x
    x = 176,591,461,267,984/6,333,346
  6. Step 6: Final answer
    x = 27,882,806.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.