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Finding the Third Proportional to 9,195,968 and 21,677,462

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Solution

The third proportional to 9,195,968 and 21,677,462 is: 51,099,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195,968 : 21,677,462 = 21,677,462 : x
  2. Step 2: Convert to fraction form
    9,195,968/21,677,462 = 21,677,462/x
  3. Step 3: Cross multiply
    9,195,968x = 21,677,462 × 21,677,462
  4. Step 4: Simplify right side
    9,195,968x = 469,912,358,761,444
  5. Step 5: Solve for x
    x = 469,912,358,761,444/9,195,968
  6. Step 6: Final answer
    x = 51,099,825.35

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.