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Finding the Third Proportional to 23,298,113.25 and 36,468,228.38

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Solution

The third proportional to 23,298,113.25 and 36,468,228.38 is: 57,083,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298,113.25 : 36,468,228.38 = 36,468,228.38 : x
  2. Step 2: Convert to fraction form
    23,298,113.25/36,468,228.38 = 36,468,228.38/x
  3. Step 3: Cross multiply
    23,298,113.25x = 36,468,228.38 × 36,468,228.38
  4. Step 4: Simplify right side
    23,298,113.25x = 1,329,931,680,811,155.25
  5. Step 5: Solve for x
    x = 1,329,931,680,811,155.25/23,298,113.25
  6. Step 6: Final answer
    x = 57,083,235.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.