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Finding the Third Proportional to 29,385,996 and 68,621,118

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Solution

The third proportional to 29,385,996 and 68,621,118 is: 160,241,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385,996 : 68,621,118 = 68,621,118 : x
  2. Step 2: Convert to fraction form
    29,385,996/68,621,118 = 68,621,118/x
  3. Step 3: Cross multiply
    29,385,996x = 68,621,118 × 68,621,118
  4. Step 4: Simplify right side
    29,385,996x = 4,708,857,835,569,924
  5. Step 5: Solve for x
    x = 4,708,857,835,569,924/29,385,996
  6. Step 6: Final answer
    x = 160,241,559.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.