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Finding the Third Proportional to 6,333,643 and 13,662,614

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Solution

The third proportional to 6,333,643 and 13,662,614 is: 29,472,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333,643 : 13,662,614 = 13,662,614 : x
  2. Step 2: Convert to fraction form
    6,333,643/13,662,614 = 13,662,614/x
  3. Step 3: Cross multiply
    6,333,643x = 13,662,614 × 13,662,614
  4. Step 4: Simplify right side
    6,333,643x = 186,667,021,312,996
  5. Step 5: Solve for x
    x = 186,667,021,312,996/6,333,643
  6. Step 6: Final answer
    x = 29,472,299.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.