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Finding the Third Proportional to 5,194,466,201 and 11,124,446,884

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Solution

The third proportional to 5,194,466,201 and 11,124,446,884 is: 23,824,068,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194,466,201 : 11,124,446,884 = 11,124,446,884 : x
  2. Step 2: Convert to fraction form
    5,194,466,201/11,124,446,884 = 11,124,446,884/x
  3. Step 3: Cross multiply
    5,194,466,201x = 11,124,446,884 × 11,124,446,884
  4. Step 4: Simplify right side
    5,194,466,201x = 123,753,318,474,937,303,040
  5. Step 5: Solve for x
    x = 123,753,318,474,937,303,040/5,194,466,201
  6. Step 6: Final answer
    x = 23,824,068,477.16

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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.