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Finding the Third Proportional to 10,517,350 and 15,734,106

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Solution

The third proportional to 10,517,350 and 15,734,106 is: 23,538,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517,350 : 15,734,106 = 15,734,106 : x
  2. Step 2: Convert to fraction form
    10,517,350/15,734,106 = 15,734,106/x
  3. Step 3: Cross multiply
    10,517,350x = 15,734,106 × 15,734,106
  4. Step 4: Simplify right side
    10,517,350x = 247,562,091,619,236
  5. Step 5: Solve for x
    x = 247,562,091,619,236/10,517,350
  6. Step 6: Final answer
    x = 23,538,447.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.