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Finding the Third Proportional to 479,411,367,183 and 1,043,218,447,258

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Solution

The third proportional to 479,411,367,183 and 1,043,218,447,258 is: 2,270,085,365,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,411,367,183 : 1,043,218,447,258 = 1,043,218,447,258 : x
  2. Step 2: Convert to fraction form
    479,411,367,183/1,043,218,447,258 = 1,043,218,447,258/x
  3. Step 3: Cross multiply
    479,411,367,183x = 1,043,218,447,258 × 1,043,218,447,258
  4. Step 4: Simplify right side
    479,411,367,183x = 1,088,304,728,699,392,554,434,560
  5. Step 5: Solve for x
    x = 1,088,304,728,699,392,554,434,560/479,411,367,183
  6. Step 6: Final answer
    x = 2,270,085,365,506.09

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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.