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Finding the Third Proportional to 10,412,532 and 21,332,412

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Solution

The third proportional to 10,412,532 and 21,332,412 is: 43,704,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412,532 : 21,332,412 = 21,332,412 : x
  2. Step 2: Convert to fraction form
    10,412,532/21,332,412 = 21,332,412/x
  3. Step 3: Cross multiply
    10,412,532x = 21,332,412 × 21,332,412
  4. Step 4: Simplify right side
    10,412,532x = 455,071,801,737,744
  5. Step 5: Solve for x
    x = 455,071,801,737,744/10,412,532
  6. Step 6: Final answer
    x = 43,704,240.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.