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Finding the Third Proportional to 32,420,677.50 and 50,146,020

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Solution

The third proportional to 32,420,677.50 and 50,146,020 is: 77,562,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,677.50 : 50,146,020 = 50,146,020 : x
  2. Step 2: Convert to fraction form
    32,420,677.50/50,146,020 = 50,146,020/x
  3. Step 3: Cross multiply
    32,420,677.50x = 50,146,020 × 50,146,020
  4. Step 4: Simplify right side
    32,420,677.50x = 2,514,623,321,840,400
  5. Step 5: Solve for x
    x = 2,514,623,321,840,400/32,420,677.50
  6. Step 6: Final answer
    x = 77,562,331.07

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