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Finding the Third Proportional to 5,825,666.25 and 9,045,219.38

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Solution

The third proportional to 5,825,666.25 and 9,045,219.38 is: 14,044,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,666.25 : 9,045,219.38 = 9,045,219.38 : x
  2. Step 2: Convert to fraction form
    5,825,666.25/9,045,219.38 = 9,045,219.38/x
  3. Step 3: Cross multiply
    5,825,666.25x = 9,045,219.38 × 9,045,219.38
  4. Step 4: Simplify right side
    5,825,666.25x = 81,815,993,541,875.39
  5. Step 5: Solve for x
    x = 81,815,993,541,875.39/5,825,666.25
  6. Step 6: Final answer
    x = 14,044,057.80

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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.