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Finding the Third Proportional to 30,665,029.50 and 65,584,867.50

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Solution

The third proportional to 30,665,029.50 and 65,584,867.50 is: 140,269,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,029.50 : 65,584,867.50 = 65,584,867.50 : x
  2. Step 2: Convert to fraction form
    30,665,029.50/65,584,867.50 = 65,584,867.50/x
  3. Step 3: Cross multiply
    30,665,029.50x = 65,584,867.50 × 65,584,867.50
  4. Step 4: Simplify right side
    30,665,029.50x = 4,301,374,844,992,556
  5. Step 5: Solve for x
    x = 4,301,374,844,992,556/30,665,029.50
  6. Step 6: Final answer
    x = 140,269,711.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.