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Finding the Third Proportional to 19,431,563,214 and 29,854,449,252

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Solution

The third proportional to 19,431,563,214 and 29,854,449,252 is: 45,868,061,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431,563,214 : 29,854,449,252 = 29,854,449,252 : x
  2. Step 2: Convert to fraction form
    19,431,563,214/29,854,449,252 = 29,854,449,252/x
  3. Step 3: Cross multiply
    19,431,563,214x = 29,854,449,252 × 29,854,449,252
  4. Step 4: Simplify right side
    19,431,563,214x = 891,288,140,140,243,320,832
  5. Step 5: Solve for x
    x = 891,288,140,140,243,320,832/19,431,563,214
  6. Step 6: Final answer
    x = 45,868,061,685.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.