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Finding the Third Proportional to 6,351,498 and 13,522,310.50

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Solution

The third proportional to 6,351,498 and 13,522,310.50 is: 28,788,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351,498 : 13,522,310.50 = 13,522,310.50 : x
  2. Step 2: Convert to fraction form
    6,351,498/13,522,310.50 = 13,522,310.50/x
  3. Step 3: Cross multiply
    6,351,498x = 13,522,310.50 × 13,522,310.50
  4. Step 4: Simplify right side
    6,351,498x = 182,852,881,258,410.25
  5. Step 5: Solve for x
    x = 182,852,881,258,410.25/6,351,498
  6. Step 6: Final answer
    x = 28,788,937.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.