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Finding the Third Proportional to 6,213,712.50 and 13,291,033.50

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Solution

The third proportional to 6,213,712.50 and 13,291,033.50 is: 28,429,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,712.50 : 13,291,033.50 = 13,291,033.50 : x
  2. Step 2: Convert to fraction form
    6,213,712.50/13,291,033.50 = 13,291,033.50/x
  3. Step 3: Cross multiply
    6,213,712.50x = 13,291,033.50 × 13,291,033.50
  4. Step 4: Simplify right side
    6,213,712.50x = 176,651,571,498,122.25
  5. Step 5: Solve for x
    x = 176,651,571,498,122.25/6,213,712.50
  6. Step 6: Final answer
    x = 28,429,312.03

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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.