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Finding the Third Proportional to 36,357,272.72 and 77,753,393.44

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Solution

The third proportional to 36,357,272.72 and 77,753,393.44 is: 166,282,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357,272.72 : 77,753,393.44 = 77,753,393.44 : x
  2. Step 2: Convert to fraction form
    36,357,272.72/77,753,393.44 = 77,753,393.44/x
  3. Step 3: Cross multiply
    36,357,272.72x = 77,753,393.44 × 77,753,393.44
  4. Step 4: Simplify right side
    36,357,272.72x = 6,045,590,191,046,668
  5. Step 5: Solve for x
    x = 6,045,590,191,046,668/36,357,272.72
  6. Step 6: Final answer
    x = 166,282,829.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.