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Finding the Third Proportional to 31,637,992 and 68,045,264

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Solution

The third proportional to 31,637,992 and 68,045,264 is: 146,348,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637,992 : 68,045,264 = 68,045,264 : x
  2. Step 2: Convert to fraction form
    31,637,992/68,045,264 = 68,045,264/x
  3. Step 3: Cross multiply
    31,637,992x = 68,045,264 × 68,045,264
  4. Step 4: Simplify right side
    31,637,992x = 4,630,157,952,829,696
  5. Step 5: Solve for x
    x = 4,630,157,952,829,696/31,637,992
  6. Step 6: Final answer
    x = 146,348,034.76

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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.