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Finding the Third Proportional to 10,683,900 and 25,195,191.75

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Solution

The third proportional to 10,683,900 and 25,195,191.75 is: 59,416,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,900 : 25,195,191.75 = 25,195,191.75 : x
  2. Step 2: Convert to fraction form
    10,683,900/25,195,191.75 = 25,195,191.75/x
  3. Step 3: Cross multiply
    10,683,900x = 25,195,191.75 × 25,195,191.75
  4. Step 4: Simplify right side
    10,683,900x = 634,797,687,319,268
  5. Step 5: Solve for x
    x = 634,797,687,319,268/10,683,900
  6. Step 6: Final answer
    x = 59,416,288.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.