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Finding the Third Proportional to 9,973,736 and 21,522,064

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Solution

The third proportional to 9,973,736 and 21,522,064 is: 46,441,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973,736 : 21,522,064 = 21,522,064 : x
  2. Step 2: Convert to fraction form
    9,973,736/21,522,064 = 21,522,064/x
  3. Step 3: Cross multiply
    9,973,736x = 21,522,064 × 21,522,064
  4. Step 4: Simplify right side
    9,973,736x = 463,199,238,820,096
  5. Step 5: Solve for x
    x = 463,199,238,820,096/9,973,736
  6. Step 6: Final answer
    x = 46,441,898.89

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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.