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Finding the Third Proportional to 6,989,694 and 14,951,136

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Solution

The third proportional to 6,989,694 and 14,951,136 is: 31,980,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,694 : 14,951,136 = 14,951,136 : x
  2. Step 2: Convert to fraction form
    6,989,694/14,951,136 = 14,951,136/x
  3. Step 3: Cross multiply
    6,989,694x = 14,951,136 × 14,951,136
  4. Step 4: Simplify right side
    6,989,694x = 223,536,467,690,496
  5. Step 5: Solve for x
    x = 223,536,467,690,496/6,989,694
  6. Step 6: Final answer
    x = 31,980,866.07

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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.