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Finding the Third Proportional to 17,957,123.82 and 39,268,276.98

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Solution

The third proportional to 17,957,123.82 and 39,268,276.98 is: 85,871,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957,123.82 : 39,268,276.98 = 39,268,276.98 : x
  2. Step 2: Convert to fraction form
    17,957,123.82/39,268,276.98 = 39,268,276.98/x
  3. Step 3: Cross multiply
    17,957,123.82x = 39,268,276.98 × 39,268,276.98
  4. Step 4: Simplify right side
    17,957,123.82x = 1,541,997,577,014,752.75
  5. Step 5: Solve for x
    x = 1,541,997,577,014,752.75/17,957,123.82
  6. Step 6: Final answer
    x = 85,871,077.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.