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Finding the Third Proportional to 7,852,384 and 16,035,008

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Solution

The third proportional to 7,852,384 and 16,035,008 is: 32,744,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,384 : 16,035,008 = 16,035,008 : x
  2. Step 2: Convert to fraction form
    7,852,384/16,035,008 = 16,035,008/x
  3. Step 3: Cross multiply
    7,852,384x = 16,035,008 × 16,035,008
  4. Step 4: Simplify right side
    7,852,384x = 257,121,481,560,064
  5. Step 5: Solve for x
    x = 257,121,481,560,064/7,852,384
  6. Step 6: Final answer
    x = 32,744,384.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.