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Finding the Third Proportional to 19,431,563,218 and 29,854,449,258

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Solution

The third proportional to 19,431,563,218 and 29,854,449,258 is: 45,868,061,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431,563,218 : 29,854,449,258 = 29,854,449,258 : x
  2. Step 2: Convert to fraction form
    19,431,563,218/29,854,449,258 = 29,854,449,258/x
  3. Step 3: Cross multiply
    19,431,563,218x = 29,854,449,258 × 29,854,449,258
  4. Step 4: Simplify right side
    19,431,563,218x = 891,288,140,498,496,782,336
  5. Step 5: Solve for x
    x = 891,288,140,498,496,782,336/19,431,563,218
  6. Step 6: Final answer
    x = 45,868,061,694.23

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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.