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Finding the Third Proportional to 31,577,048 and 68,026,624

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Solution

The third proportional to 31,577,048 and 68,026,624 is: 146,550,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577,048 : 68,026,624 = 68,026,624 : x
  2. Step 2: Convert to fraction form
    31,577,048/68,026,624 = 68,026,624/x
  3. Step 3: Cross multiply
    31,577,048x = 68,026,624 × 68,026,624
  4. Step 4: Simplify right side
    31,577,048x = 4,627,621,572,837,376
  5. Step 5: Solve for x
    x = 4,627,621,572,837,376/31,577,048
  6. Step 6: Final answer
    x = 146,550,164.31

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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.