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Finding the Third Proportional to 29,385,998 and 68,621,123

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Solution

The third proportional to 29,385,998 and 68,621,123 is: 160,241,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385,998 : 68,621,123 = 68,621,123 : x
  2. Step 2: Convert to fraction form
    29,385,998/68,621,123 = 68,621,123/x
  3. Step 3: Cross multiply
    29,385,998x = 68,621,123 × 68,621,123
  4. Step 4: Simplify right side
    29,385,998x = 4,708,858,521,781,129
  5. Step 5: Solve for x
    x = 4,708,858,521,781,129/29,385,998
  6. Step 6: Final answer
    x = 160,241,572.25

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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.