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Finding the Third Proportional to 8,388,164 and 18,346,342

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Solution

The third proportional to 8,388,164 and 18,346,342 is: 40,126,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,164 : 18,346,342 = 18,346,342 : x
  2. Step 2: Convert to fraction form
    8,388,164/18,346,342 = 18,346,342/x
  3. Step 3: Cross multiply
    8,388,164x = 18,346,342 × 18,346,342
  4. Step 4: Simplify right side
    8,388,164x = 336,588,264,780,964
  5. Step 5: Solve for x
    x = 336,588,264,780,964/8,388,164
  6. Step 6: Final answer
    x = 40,126,571.77

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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.