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Finding the Third Proportional to 9,825,840 and 21,144,672

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Solution

The third proportional to 9,825,840 and 21,144,672 is: 45,502,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825,840 : 21,144,672 = 21,144,672 : x
  2. Step 2: Convert to fraction form
    9,825,840/21,144,672 = 21,144,672/x
  3. Step 3: Cross multiply
    9,825,840x = 21,144,672 × 21,144,672
  4. Step 4: Simplify right side
    9,825,840x = 447,097,153,987,584
  5. Step 5: Solve for x
    x = 447,097,153,987,584/9,825,840
  6. Step 6: Final answer
    x = 45,502,181.39

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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.