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Finding the Third Proportional to 10,938,197 and 23,844,586

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Solution

The third proportional to 10,938,197 and 23,844,586 is: 51,979,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938,197 : 23,844,586 = 23,844,586 : x
  2. Step 2: Convert to fraction form
    10,938,197/23,844,586 = 23,844,586/x
  3. Step 3: Cross multiply
    10,938,197x = 23,844,586 × 23,844,586
  4. Step 4: Simplify right side
    10,938,197x = 568,564,281,511,396
  5. Step 5: Solve for x
    x = 568,564,281,511,396/10,938,197
  6. Step 6: Final answer
    x = 51,979,707.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.