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Finding the Third Proportional to 12,472,825.50 and 18,658,390.50

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Solution

The third proportional to 12,472,825.50 and 18,658,390.50 is: 27,911,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472,825.50 : 18,658,390.50 = 18,658,390.50 : x
  2. Step 2: Convert to fraction form
    12,472,825.50/18,658,390.50 = 18,658,390.50/x
  3. Step 3: Cross multiply
    12,472,825.50x = 18,658,390.50 × 18,658,390.50
  4. Step 4: Simplify right side
    12,472,825.50x = 348,135,536,050,490.25
  5. Step 5: Solve for x
    x = 348,135,536,050,490.25/12,472,825.50
  6. Step 6: Final answer
    x = 27,911,521.42

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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.