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Finding the Third Proportional to 10,061,667 and 21,716,743.50

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Solution

The third proportional to 10,061,667 and 21,716,743.50 is: 46,872,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061,667 : 21,716,743.50 = 21,716,743.50 : x
  2. Step 2: Convert to fraction form
    10,061,667/21,716,743.50 = 21,716,743.50/x
  3. Step 3: Cross multiply
    10,061,667x = 21,716,743.50 × 21,716,743.50
  4. Step 4: Simplify right side
    10,061,667x = 471,616,948,244,792.25
  5. Step 5: Solve for x
    x = 471,616,948,244,792.25/10,061,667
  6. Step 6: Final answer
    x = 46,872,645.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.