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Finding the Third Proportional to 5,841,262,260 and 13,775,196,324

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Solution

The third proportional to 5,841,262,260 and 13,775,196,324 is: 32,485,450,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841,262,260 : 13,775,196,324 = 13,775,196,324 : x
  2. Step 2: Convert to fraction form
    5,841,262,260/13,775,196,324 = 13,775,196,324/x
  3. Step 3: Cross multiply
    5,841,262,260x = 13,775,196,324 × 13,775,196,324
  4. Step 4: Simplify right side
    5,841,262,260x = 189,756,033,764,743,118,848
  5. Step 5: Solve for x
    x = 189,756,033,764,743,118,848/5,841,262,260
  6. Step 6: Final answer
    x = 32,485,450,116.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.