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Finding the Third Proportional to 19,814,610 and 27,903,325.50

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Solution

The third proportional to 19,814,610 and 27,903,325.50 is: 39,294,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814,610 : 27,903,325.50 = 27,903,325.50 : x
  2. Step 2: Convert to fraction form
    19,814,610/27,903,325.50 = 27,903,325.50/x
  3. Step 3: Cross multiply
    19,814,610x = 27,903,325.50 × 27,903,325.50
  4. Step 4: Simplify right side
    19,814,610x = 778,595,573,958,950.25
  5. Step 5: Solve for x
    x = 778,595,573,958,950.25/19,814,610
  6. Step 6: Final answer
    x = 39,294,014.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.