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Finding the Third Proportional to 9,765,927 and 21,213,144

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Solution

The third proportional to 9,765,927 and 21,213,144 is: 46,078,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,927 : 21,213,144 = 21,213,144 : x
  2. Step 2: Convert to fraction form
    9,765,927/21,213,144 = 21,213,144/x
  3. Step 3: Cross multiply
    9,765,927x = 21,213,144 × 21,213,144
  4. Step 4: Simplify right side
    9,765,927x = 449,997,478,364,736
  5. Step 5: Solve for x
    x = 449,997,478,364,736/9,765,927
  6. Step 6: Final answer
    x = 46,078,316.82

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