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Finding the Third Proportional to 31,985,504 and 46,778,684

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Solution

The third proportional to 31,985,504 and 46,778,684 is: 68,413,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985,504 : 46,778,684 = 46,778,684 : x
  2. Step 2: Convert to fraction form
    31,985,504/46,778,684 = 46,778,684/x
  3. Step 3: Cross multiply
    31,985,504x = 46,778,684 × 46,778,684
  4. Step 4: Simplify right side
    31,985,504x = 2,188,245,276,771,856
  5. Step 5: Solve for x
    x = 2,188,245,276,771,856/31,985,504
  6. Step 6: Final answer
    x = 68,413,656.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.