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Finding the Third Proportional to 32,529,954 and 68,414,640

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Solution

The third proportional to 32,529,954 and 68,414,640 is: 143,884,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529,954 : 68,414,640 = 68,414,640 : x
  2. Step 2: Convert to fraction form
    32,529,954/68,414,640 = 68,414,640/x
  3. Step 3: Cross multiply
    32,529,954x = 68,414,640 × 68,414,640
  4. Step 4: Simplify right side
    32,529,954x = 4,680,562,966,329,600
  5. Step 5: Solve for x
    x = 4,680,562,966,329,600/32,529,954
  6. Step 6: Final answer
    x = 143,884,709.04

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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.