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Finding the Third Proportional to 5,726,282.50 and 12,349,214

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Solution

The third proportional to 5,726,282.50 and 12,349,214 is: 26,632,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726,282.50 : 12,349,214 = 12,349,214 : x
  2. Step 2: Convert to fraction form
    5,726,282.50/12,349,214 = 12,349,214/x
  3. Step 3: Cross multiply
    5,726,282.50x = 12,349,214 × 12,349,214
  4. Step 4: Simplify right side
    5,726,282.50x = 152,503,086,417,796
  5. Step 5: Solve for x
    x = 152,503,086,417,796/5,726,282.50
  6. Step 6: Final answer
    x = 26,632,127.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.