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Finding the Third Proportional to 6,213,819,299 and 13,630,666,014.50

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Solution

The third proportional to 6,213,819,299 and 13,630,666,014.50 is: 29,900,299,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,819,299 : 13,630,666,014.50 = 13,630,666,014.50 : x
  2. Step 2: Convert to fraction form
    6,213,819,299/13,630,666,014.50 = 13,630,666,014.50/x
  3. Step 3: Cross multiply
    6,213,819,299x = 13,630,666,014.50 × 13,630,666,014.50
  4. Step 4: Simplify right side
    6,213,819,299x = 185,795,055,998,845,321,216
  5. Step 5: Solve for x
    x = 185,795,055,998,845,321,216/6,213,819,299
  6. Step 6: Final answer
    x = 29,900,299,165.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.