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Finding the Third Proportional to 32,948,668.25 and 68,624,477.63

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Solution

The third proportional to 32,948,668.25 and 68,624,477.63 is: 142,928,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948,668.25 : 68,624,477.63 = 68,624,477.63 : x
  2. Step 2: Convert to fraction form
    32,948,668.25/68,624,477.63 = 68,624,477.63/x
  3. Step 3: Cross multiply
    32,948,668.25x = 68,624,477.63 × 68,624,477.63
  4. Step 4: Simplify right side
    32,948,668.25x = 4,709,318,929,304,126
  5. Step 5: Solve for x
    x = 4,709,318,929,304,126/32,948,668.25
  6. Step 6: Final answer
    x = 142,928,961.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.