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Finding the Third Proportional to 31,565,462 and 67,830,232

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Solution

The third proportional to 31,565,462 and 67,830,232 is: 145,758,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565,462 : 67,830,232 = 67,830,232 : x
  2. Step 2: Convert to fraction form
    31,565,462/67,830,232 = 67,830,232/x
  3. Step 3: Cross multiply
    31,565,462x = 67,830,232 × 67,830,232
  4. Step 4: Simplify right side
    31,565,462x = 4,600,940,373,173,824
  5. Step 5: Solve for x
    x = 4,600,940,373,173,824/31,565,462
  6. Step 6: Final answer
    x = 145,758,689.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.