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Finding the Third Proportional to 10,220,352.19 and 15,709,410.84

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Solution

The third proportional to 10,220,352.19 and 15,709,410.84 is: 24,146,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220,352.19 : 15,709,410.84 = 15,709,410.84 : x
  2. Step 2: Convert to fraction form
    10,220,352.19/15,709,410.84 = 15,709,410.84/x
  3. Step 3: Cross multiply
    10,220,352.19x = 15,709,410.84 × 15,709,410.84
  4. Step 4: Simplify right side
    10,220,352.19x = 246,785,589,057,730.09
  5. Step 5: Solve for x
    x = 246,785,589,057,730.09/10,220,352.19
  6. Step 6: Final answer
    x = 24,146,485.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.