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Finding the Third Proportional to 32,420,490.75 and 50,145,732

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Solution

The third proportional to 32,420,490.75 and 50,145,732 is: 77,561,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,490.75 : 50,145,732 = 50,145,732 : x
  2. Step 2: Convert to fraction form
    32,420,490.75/50,145,732 = 50,145,732/x
  3. Step 3: Cross multiply
    32,420,490.75x = 50,145,732 × 50,145,732
  4. Step 4: Simplify right side
    32,420,490.75x = 2,514,594,437,815,824
  5. Step 5: Solve for x
    x = 2,514,594,437,815,824/32,420,490.75
  6. Step 6: Final answer
    x = 77,561,886.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.