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Finding the Third Proportional to 8,205,428.25 and 17,855,734.50

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Solution

The third proportional to 8,205,428.25 and 17,855,734.50 is: 38,855,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,428.25 : 17,855,734.50 = 17,855,734.50 : x
  2. Step 2: Convert to fraction form
    8,205,428.25/17,855,734.50 = 17,855,734.50/x
  3. Step 3: Cross multiply
    8,205,428.25x = 17,855,734.50 × 17,855,734.50
  4. Step 4: Simplify right side
    8,205,428.25x = 318,827,254,534,490.25
  5. Step 5: Solve for x
    x = 318,827,254,534,490.25/8,205,428.25
  6. Step 6: Final answer
    x = 38,855,650.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.