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Finding the Third Proportional to 8,300,832 and 18,176,352

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Solution

The third proportional to 8,300,832 and 18,176,352 is: 39,800,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300,832 : 18,176,352 = 18,176,352 : x
  2. Step 2: Convert to fraction form
    8,300,832/18,176,352 = 18,176,352/x
  3. Step 3: Cross multiply
    8,300,832x = 18,176,352 × 18,176,352
  4. Step 4: Simplify right side
    8,300,832x = 330,379,772,027,904
  5. Step 5: Solve for x
    x = 330,379,772,027,904/8,300,832
  6. Step 6: Final answer
    x = 39,800,802.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.