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Finding the Third Proportional to 32,372,772 and 67,738,656

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Solution

The third proportional to 32,372,772 and 67,738,656 is: 141,740,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372,772 : 67,738,656 = 67,738,656 : x
  2. Step 2: Convert to fraction form
    32,372,772/67,738,656 = 67,738,656/x
  3. Step 3: Cross multiply
    32,372,772x = 67,738,656 × 67,738,656
  4. Step 4: Simplify right side
    32,372,772x = 4,588,525,516,686,336
  5. Step 5: Solve for x
    x = 4,588,525,516,686,336/32,372,772
  6. Step 6: Final answer
    x = 141,740,272.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.