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Finding the Third Proportional to 6,543,666 and 13,927,140

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Solution

The third proportional to 6,543,666 and 13,927,140 is: 29,641,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,666 : 13,927,140 = 13,927,140 : x
  2. Step 2: Convert to fraction form
    6,543,666/13,927,140 = 13,927,140/x
  3. Step 3: Cross multiply
    6,543,666x = 13,927,140 × 13,927,140
  4. Step 4: Simplify right side
    6,543,666x = 193,965,228,579,600
  5. Step 5: Solve for x
    x = 193,965,228,579,600/6,543,666
  6. Step 6: Final answer
    x = 29,641,676.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.