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Finding the Third Proportional to 9,765,771 and 21,212,832

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Solution

The third proportional to 9,765,771 and 21,212,832 is: 46,077,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,771 : 21,212,832 = 21,212,832 : x
  2. Step 2: Convert to fraction form
    9,765,771/21,212,832 = 21,212,832/x
  3. Step 3: Cross multiply
    9,765,771x = 21,212,832 × 21,212,832
  4. Step 4: Simplify right side
    9,765,771x = 449,984,241,460,224
  5. Step 5: Solve for x
    x = 449,984,241,460,224/9,765,771
  6. Step 6: Final answer
    x = 46,077,697.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.