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Finding the Third Proportional to 32,458,000.50 and 68,537,673

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Solution

The third proportional to 32,458,000.50 and 68,537,673 is: 144,722,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458,000.50 : 68,537,673 = 68,537,673 : x
  2. Step 2: Convert to fraction form
    32,458,000.50/68,537,673 = 68,537,673/x
  3. Step 3: Cross multiply
    32,458,000.50x = 68,537,673 × 68,537,673
  4. Step 4: Simplify right side
    32,458,000.50x = 4,697,412,620,254,929
  5. Step 5: Solve for x
    x = 4,697,412,620,254,929/32,458,000.50
  6. Step 6: Final answer
    x = 144,722,797.09

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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.