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Finding the Third Proportional to 3,160,343 and 6,825,136

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Solution

The third proportional to 3,160,343 and 6,825,136 is: 14,739,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,343 : 6,825,136 = 6,825,136 : x
  2. Step 2: Convert to fraction form
    3,160,343/6,825,136 = 6,825,136/x
  3. Step 3: Cross multiply
    3,160,343x = 6,825,136 × 6,825,136
  4. Step 4: Simplify right side
    3,160,343x = 46,582,481,418,496
  5. Step 5: Solve for x
    x = 46,582,481,418,496/3,160,343
  6. Step 6: Final answer
    x = 14,739,691.68

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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.