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Finding the Third Proportional to 30,279,864 and 65,670,748.50

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Solution

The third proportional to 30,279,864 and 65,670,748.50 is: 142,426,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279,864 : 65,670,748.50 = 65,670,748.50 : x
  2. Step 2: Convert to fraction form
    30,279,864/65,670,748.50 = 65,670,748.50/x
  3. Step 3: Cross multiply
    30,279,864x = 65,670,748.50 × 65,670,748.50
  4. Step 4: Simplify right side
    30,279,864x = 4,312,647,208,550,252
  5. Step 5: Solve for x
    x = 4,312,647,208,550,252/30,279,864
  6. Step 6: Final answer
    x = 142,426,241.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.