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Finding the Third Proportional to 40,235,264 and 82,329,856

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Solution

The third proportional to 40,235,264 and 82,329,856 is: 168,464,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,235,264 : 82,329,856 = 82,329,856 : x
  2. Step 2: Convert to fraction form
    40,235,264/82,329,856 = 82,329,856/x
  3. Step 3: Cross multiply
    40,235,264x = 82,329,856 × 82,329,856
  4. Step 4: Simplify right side
    40,235,264x = 6,778,205,188,980,736
  5. Step 5: Solve for x
    x = 6,778,205,188,980,736/40,235,264
  6. Step 6: Final answer
    x = 168,464,290.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.