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Finding the Third Proportional to 10,517,346 and 15,734,101

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Solution

The third proportional to 10,517,346 and 15,734,101 is: 23,538,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517,346 : 15,734,101 = 15,734,101 : x
  2. Step 2: Convert to fraction form
    10,517,346/15,734,101 = 15,734,101/x
  3. Step 3: Cross multiply
    10,517,346x = 15,734,101 × 15,734,101
  4. Step 4: Simplify right side
    10,517,346x = 247,561,934,278,201
  5. Step 5: Solve for x
    x = 247,561,934,278,201/10,517,346
  6. Step 6: Final answer
    x = 23,538,441.57

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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.