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Finding the Third Proportional to 10,774,150 and 23,643,648

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Solution

The third proportional to 10,774,150 and 23,643,648 is: 51,885,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,150 : 23,643,648 = 23,643,648 : x
  2. Step 2: Convert to fraction form
    10,774,150/23,643,648 = 23,643,648/x
  3. Step 3: Cross multiply
    10,774,150x = 23,643,648 × 23,643,648
  4. Step 4: Simplify right side
    10,774,150x = 559,022,090,747,904
  5. Step 5: Solve for x
    x = 559,022,090,747,904/10,774,150
  6. Step 6: Final answer
    x = 51,885,493.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.