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Finding the Third Proportional to 6,333,288 and 13,563,383

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Solution

The third proportional to 6,333,288 and 13,563,383 is: 29,047,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333,288 : 13,563,383 = 13,563,383 : x
  2. Step 2: Convert to fraction form
    6,333,288/13,563,383 = 13,563,383/x
  3. Step 3: Cross multiply
    6,333,288x = 13,563,383 × 13,563,383
  4. Step 4: Simplify right side
    6,333,288x = 183,965,358,404,689
  5. Step 5: Solve for x
    x = 183,965,358,404,689/6,333,288
  6. Step 6: Final answer
    x = 29,047,369.77

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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.