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Finding the Third Proportional to 27,019,731 and 39,814,924.50

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Solution

The third proportional to 27,019,731 and 39,814,924.50 is: 58,669,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019,731 : 39,814,924.50 = 39,814,924.50 : x
  2. Step 2: Convert to fraction form
    27,019,731/39,814,924.50 = 39,814,924.50/x
  3. Step 3: Cross multiply
    27,019,731x = 39,814,924.50 × 39,814,924.50
  4. Step 4: Simplify right side
    27,019,731x = 1,585,228,212,940,700.25
  5. Step 5: Solve for x
    x = 1,585,228,212,940,700.25/27,019,731
  6. Step 6: Final answer
    x = 58,669,281.83

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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.