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Finding the Third Proportional to 9,825,842 and 21,144,676

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Solution

The third proportional to 9,825,842 and 21,144,676 is: 45,502,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825,842 : 21,144,676 = 21,144,676 : x
  2. Step 2: Convert to fraction form
    9,825,842/21,144,676 = 21,144,676/x
  3. Step 3: Cross multiply
    9,825,842x = 21,144,676 × 21,144,676
  4. Step 4: Simplify right side
    9,825,842x = 447,097,323,144,976
  5. Step 5: Solve for x
    x = 447,097,323,144,976/9,825,842
  6. Step 6: Final answer
    x = 45,502,189.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.