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Finding the Third Proportional to 6,802,384 and 14,800,459

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Solution

The third proportional to 6,802,384 and 14,800,459 is: 32,202,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,384 : 14,800,459 = 14,800,459 : x
  2. Step 2: Convert to fraction form
    6,802,384/14,800,459 = 14,800,459/x
  3. Step 3: Cross multiply
    6,802,384x = 14,800,459 × 14,800,459
  4. Step 4: Simplify right side
    6,802,384x = 219,053,586,610,681
  5. Step 5: Solve for x
    x = 219,053,586,610,681/6,802,384
  6. Step 6: Final answer
    x = 32,202,472.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.