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Finding the Third Proportional to 10,862,819.51 and 23,593,986.28

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Solution

The third proportional to 10,862,819.51 and 23,593,986.28 is: 51,246,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862,819.51 : 23,593,986.28 = 23,593,986.28 : x
  2. Step 2: Convert to fraction form
    10,862,819.51/23,593,986.28 = 23,593,986.28/x
  3. Step 3: Cross multiply
    10,862,819.51x = 23,593,986.28 × 23,593,986.28
  4. Step 4: Simplify right side
    10,862,819.51x = 556,676,188,639,813.19
  5. Step 5: Solve for x
    x = 556,676,188,639,813.19/10,862,819.51
  6. Step 6: Final answer
    x = 51,246,012.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.