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Finding the Third Proportional to 25,678,489.50 and 34,974,065.25

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Solution

The third proportional to 25,678,489.50 and 34,974,065.25 is: 47,634,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678,489.50 : 34,974,065.25 = 34,974,065.25 : x
  2. Step 2: Convert to fraction form
    25,678,489.50/34,974,065.25 = 34,974,065.25/x
  3. Step 3: Cross multiply
    25,678,489.50x = 34,974,065.25 × 34,974,065.25
  4. Step 4: Simplify right side
    25,678,489.50x = 1,223,185,240,111,257.50
  5. Step 5: Solve for x
    x = 1,223,185,240,111,257.50/25,678,489.50
  6. Step 6: Final answer
    x = 47,634,625.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.