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Finding the Third Proportional to 32,860,800 and 73,277,280

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Solution

The third proportional to 32,860,800 and 73,277,280 is: 163,403,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860,800 : 73,277,280 = 73,277,280 : x
  2. Step 2: Convert to fraction form
    32,860,800/73,277,280 = 73,277,280/x
  3. Step 3: Cross multiply
    32,860,800x = 73,277,280 × 73,277,280
  4. Step 4: Simplify right side
    32,860,800x = 5,369,559,764,198,400
  5. Step 5: Solve for x
    x = 5,369,559,764,198,400/32,860,800
  6. Step 6: Final answer
    x = 163,403,196.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.