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Finding the Third Proportional to 32,980,172.63 and 72,464,331.38

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Solution

The third proportional to 32,980,172.63 and 72,464,331.38 is: 159,219,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980,172.63 : 72,464,331.38 = 72,464,331.38 : x
  2. Step 2: Convert to fraction form
    32,980,172.63/72,464,331.38 = 72,464,331.38/x
  3. Step 3: Cross multiply
    32,980,172.63x = 72,464,331.38 × 72,464,331.38
  4. Step 4: Simplify right side
    32,980,172.63x = 5,251,079,321,625,809
  5. Step 5: Solve for x
    x = 5,251,079,321,625,809/32,980,172.63
  6. Step 6: Final answer
    x = 159,219,279.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.