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Finding the Third Proportional to 7,085,062 and 14,799,129.50

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Solution

The third proportional to 7,085,062 and 14,799,129.50 is: 30,912,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,062 : 14,799,129.50 = 14,799,129.50 : x
  2. Step 2: Convert to fraction form
    7,085,062/14,799,129.50 = 14,799,129.50/x
  3. Step 3: Cross multiply
    7,085,062x = 14,799,129.50 × 14,799,129.50
  4. Step 4: Simplify right side
    7,085,062x = 219,014,233,957,770.25
  5. Step 5: Solve for x
    x = 219,014,233,957,770.25/7,085,062
  6. Step 6: Final answer
    x = 30,912,112.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.