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Finding the Third Proportional to 16,783,145.75 and 25,916,113.50

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Solution

The third proportional to 16,783,145.75 and 25,916,113.50 is: 40,019,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783,145.75 : 25,916,113.50 = 25,916,113.50 : x
  2. Step 2: Convert to fraction form
    16,783,145.75/25,916,113.50 = 25,916,113.50/x
  3. Step 3: Cross multiply
    16,783,145.75x = 25,916,113.50 × 25,916,113.50
  4. Step 4: Simplify right side
    16,783,145.75x = 671,644,938,944,882.25
  5. Step 5: Solve for x
    x = 671,644,938,944,882.25/16,783,145.75
  6. Step 6: Final answer
    x = 40,019,013.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.