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Finding the Third Proportional to 3,035,229 and 6,503,146.50

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Solution

The third proportional to 3,035,229 and 6,503,146.50 is: 13,933,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,229 : 6,503,146.50 = 6,503,146.50 : x
  2. Step 2: Convert to fraction form
    3,035,229/6,503,146.50 = 6,503,146.50/x
  3. Step 3: Cross multiply
    3,035,229x = 6,503,146.50 × 6,503,146.50
  4. Step 4: Simplify right side
    3,035,229x = 42,290,914,400,462.25
  5. Step 5: Solve for x
    x = 42,290,914,400,462.25/3,035,229
  6. Step 6: Final answer
    x = 13,933,352.11

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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.