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Finding the Third Proportional to 5,313,438 and 11,365,596

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Solution

The third proportional to 5,313,438 and 11,365,596 is: 24,311,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313,438 : 11,365,596 = 11,365,596 : x
  2. Step 2: Convert to fraction form
    5,313,438/11,365,596 = 11,365,596/x
  3. Step 3: Cross multiply
    5,313,438x = 11,365,596 × 11,365,596
  4. Step 4: Simplify right side
    5,313,438x = 129,176,772,435,216
  5. Step 5: Solve for x
    x = 129,176,772,435,216/5,313,438
  6. Step 6: Final answer
    x = 24,311,335.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.