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Finding the Third Proportional to 31,638,004 and 68,045,288

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Solution

The third proportional to 31,638,004 and 68,045,288 is: 146,348,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638,004 : 68,045,288 = 68,045,288 : x
  2. Step 2: Convert to fraction form
    31,638,004/68,045,288 = 68,045,288/x
  3. Step 3: Cross multiply
    31,638,004x = 68,045,288 × 68,045,288
  4. Step 4: Simplify right side
    31,638,004x = 4,630,161,219,002,944
  5. Step 5: Solve for x
    x = 4,630,161,219,002,944/31,638,004
  6. Step 6: Final answer
    x = 146,348,082.48

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