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Finding the Third Proportional to 37,301,475.80 and 80,271,655.59

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Solution

The third proportional to 37,301,475.80 and 80,271,655.59 is: 172,742,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,301,475.80 : 80,271,655.59 = 80,271,655.59 : x
  2. Step 2: Convert to fraction form
    37,301,475.80/80,271,655.59 = 80,271,655.59/x
  3. Step 3: Cross multiply
    37,301,475.80x = 80,271,655.59 × 80,271,655.59
  4. Step 4: Simplify right side
    37,301,475.80x = 6,443,538,691,761,616
  5. Step 5: Solve for x
    x = 6,443,538,691,761,616/37,301,475.80
  6. Step 6: Final answer
    x = 172,742,191.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.