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Finding the Third Proportional to 37,056,051 and 80,491,171.50

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Solution

The third proportional to 37,056,051 and 80,491,171.50 is: 174,838,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,051 : 80,491,171.50 = 80,491,171.50 : x
  2. Step 2: Convert to fraction form
    37,056,051/80,491,171.50 = 80,491,171.50/x
  3. Step 3: Cross multiply
    37,056,051x = 80,491,171.50 × 80,491,171.50
  4. Step 4: Simplify right side
    37,056,051x = 6,478,828,689,442,412
  5. Step 5: Solve for x
    x = 6,478,828,689,442,412/37,056,051
  6. Step 6: Final answer
    x = 174,838,616.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.