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Finding the Third Proportional to 10,617,949.13 and 23,261,752.13

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Solution

The third proportional to 10,617,949.13 and 23,261,752.13 is: 50,961,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617,949.13 : 23,261,752.13 = 23,261,752.13 : x
  2. Step 2: Convert to fraction form
    10,617,949.13/23,261,752.13 = 23,261,752.13/x
  3. Step 3: Cross multiply
    10,617,949.13x = 23,261,752.13 × 23,261,752.13
  4. Step 4: Simplify right side
    10,617,949.13x = 541,109,111,924,942
  5. Step 5: Solve for x
    x = 541,109,111,924,942/10,617,949.13
  6. Step 6: Final answer
    x = 50,961,735.22

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Why These Related Problems?

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