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Finding the Third Proportional to 32,529,972 and 68,414,664

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Solution

The third proportional to 32,529,972 and 68,414,664 is: 143,884,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529,972 : 68,414,664 = 68,414,664 : x
  2. Step 2: Convert to fraction form
    32,529,972/68,414,664 = 68,414,664/x
  3. Step 3: Cross multiply
    32,529,972x = 68,414,664 × 68,414,664
  4. Step 4: Simplify right side
    32,529,972x = 4,680,566,250,232,896
  5. Step 5: Solve for x
    x = 4,680,566,250,232,896/32,529,972
  6. Step 6: Final answer
    x = 143,884,730.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.