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Finding the Third Proportional to 8,435,297 and 17,468,739

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Solution

The third proportional to 8,435,297 and 17,468,739 is: 36,176,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435,297 : 17,468,739 = 17,468,739 : x
  2. Step 2: Convert to fraction form
    8,435,297/17,468,739 = 17,468,739/x
  3. Step 3: Cross multiply
    8,435,297x = 17,468,739 × 17,468,739
  4. Step 4: Simplify right side
    8,435,297x = 305,156,842,250,121
  5. Step 5: Solve for x
    x = 305,156,842,250,121/8,435,297
  6. Step 6: Final answer
    x = 36,176,182.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.