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Finding the Third Proportional to 19,299,318,914 and 42,016,065,124

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Solution

The third proportional to 19,299,318,914 and 42,016,065,124 is: 91,472,125,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,299,318,914 : 42,016,065,124 = 42,016,065,124 : x
  2. Step 2: Convert to fraction form
    19,299,318,914/42,016,065,124 = 42,016,065,124/x
  3. Step 3: Cross multiply
    19,299,318,914x = 42,016,065,124 × 42,016,065,124
  4. Step 4: Simplify right side
    19,299,318,914x = 1,765,349,728,504,209,211,392
  5. Step 5: Solve for x
    x = 1,765,349,728,504,209,211,392/19,299,318,914
  6. Step 6: Final answer
    x = 91,472,125,849.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.