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Finding the Third Proportional to 27,019,728 and 39,814,920

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Solution

The third proportional to 27,019,728 and 39,814,920 is: 58,669,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019,728 : 39,814,920 = 39,814,920 : x
  2. Step 2: Convert to fraction form
    27,019,728/39,814,920 = 39,814,920/x
  3. Step 3: Cross multiply
    27,019,728x = 39,814,920 × 39,814,920
  4. Step 4: Simplify right side
    27,019,728x = 1,585,227,854,606,400
  5. Step 5: Solve for x
    x = 1,585,227,854,606,400/27,019,728
  6. Step 6: Final answer
    x = 58,669,275.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.