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Finding the Third Proportional to 10,013,523.75 and 21,444,210

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Solution

The third proportional to 10,013,523.75 and 21,444,210 is: 45,923,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,523.75 : 21,444,210 = 21,444,210 : x
  2. Step 2: Convert to fraction form
    10,013,523.75/21,444,210 = 21,444,210/x
  3. Step 3: Cross multiply
    10,013,523.75x = 21,444,210 × 21,444,210
  4. Step 4: Simplify right side
    10,013,523.75x = 459,854,142,524,100
  5. Step 5: Solve for x
    x = 459,854,142,524,100/10,013,523.75
  6. Step 6: Final answer
    x = 45,923,308.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.