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Finding the Third Proportional to 6,230,349,068 and 13,405,645,619

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Solution

The third proportional to 6,230,349,068 and 13,405,645,619 is: 28,844,504,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230,349,068 : 13,405,645,619 = 13,405,645,619 : x
  2. Step 2: Convert to fraction form
    6,230,349,068/13,405,645,619 = 13,405,645,619/x
  3. Step 3: Cross multiply
    6,230,349,068x = 13,405,645,619 × 13,405,645,619
  4. Step 4: Simplify right side
    6,230,349,068x = 179,711,334,462,213,881,856
  5. Step 5: Solve for x
    x = 179,711,334,462,213,881,856/6,230,349,068
  6. Step 6: Final answer
    x = 28,844,504,938.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.