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Finding the Third Proportional to 6,490,140 and 13,848,966

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Solution

The third proportional to 6,490,140 and 13,848,966 is: 29,551,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,140 : 13,848,966 = 13,848,966 : x
  2. Step 2: Convert to fraction form
    6,490,140/13,848,966 = 13,848,966/x
  3. Step 3: Cross multiply
    6,490,140x = 13,848,966 × 13,848,966
  4. Step 4: Simplify right side
    6,490,140x = 191,793,859,269,156
  5. Step 5: Solve for x
    x = 191,793,859,269,156/6,490,140
  6. Step 6: Final answer
    x = 29,551,575.05

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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.