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Finding the Third Proportional to 37,844,535 and 82,853,677.50

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Solution

The third proportional to 37,844,535 and 82,853,677.50 is: 181,392,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844,535 : 82,853,677.50 = 82,853,677.50 : x
  2. Step 2: Convert to fraction form
    37,844,535/82,853,677.50 = 82,853,677.50/x
  3. Step 3: Cross multiply
    37,844,535x = 82,853,677.50 × 82,853,677.50
  4. Step 4: Simplify right side
    37,844,535x = 6,864,731,875,274,006
  5. Step 5: Solve for x
    x = 6,864,731,875,274,006/37,844,535
  6. Step 6: Final answer
    x = 181,392,950.80

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