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Finding the Third Proportional to 3,242,558,084 and 6,575,344,156

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Solution

The third proportional to 3,242,558,084 and 6,575,344,156 is: 13,333,654,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242,558,084 : 6,575,344,156 = 6,575,344,156 : x
  2. Step 2: Convert to fraction form
    3,242,558,084/6,575,344,156 = 6,575,344,156/x
  3. Step 3: Cross multiply
    3,242,558,084x = 6,575,344,156 × 6,575,344,156
  4. Step 4: Simplify right side
    3,242,558,084x = 43,235,150,769,843,355,648
  5. Step 5: Solve for x
    x = 43,235,150,769,843,355,648/3,242,558,084
  6. Step 6: Final answer
    x = 13,333,654,987.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.