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Finding the Third Proportional to 32,457,914 and 68,537,512

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Solution

The third proportional to 32,457,914 and 68,537,512 is: 144,722,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457,914 : 68,537,512 = 68,537,512 : x
  2. Step 2: Convert to fraction form
    32,457,914/68,537,512 = 68,537,512/x
  3. Step 3: Cross multiply
    32,457,914x = 68,537,512 × 68,537,512
  4. Step 4: Simplify right side
    32,457,914x = 4,697,390,551,150,144
  5. Step 5: Solve for x
    x = 4,697,390,551,150,144/32,457,914
  6. Step 6: Final answer
    x = 144,722,502.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.