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Finding the Third Proportional to 19,277,034 and 40,542,042

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Solution

The third proportional to 19,277,034 and 40,542,042 is: 85,265,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277,034 : 40,542,042 = 40,542,042 : x
  2. Step 2: Convert to fraction form
    19,277,034/40,542,042 = 40,542,042/x
  3. Step 3: Cross multiply
    19,277,034x = 40,542,042 × 40,542,042
  4. Step 4: Simplify right side
    19,277,034x = 1,643,657,169,529,764
  5. Step 5: Solve for x
    x = 1,643,657,169,529,764/19,277,034
  6. Step 6: Final answer
    x = 85,265,044.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.