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Finding the Third Proportional to 16,795,314 and 25,188,597

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Solution

The third proportional to 16,795,314 and 25,188,597 is: 37,776,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,795,314 : 25,188,597 = 25,188,597 : x
  2. Step 2: Convert to fraction form
    16,795,314/25,188,597 = 25,188,597/x
  3. Step 3: Cross multiply
    16,795,314x = 25,188,597 × 25,188,597
  4. Step 4: Simplify right side
    16,795,314x = 634,465,418,828,409
  5. Step 5: Solve for x
    x = 634,465,418,828,409/16,795,314
  6. Step 6: Final answer
    x = 37,776,335.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.