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Finding the Third Proportional to 1,469,576,758,284 and 2,043,329,016,276

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Solution

The third proportional to 1,469,576,758,284 and 2,043,329,016,276 is: 2,841,085,669,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,576,758,284 : 2,043,329,016,276 = 2,043,329,016,276 : x
  2. Step 2: Convert to fraction form
    1,469,576,758,284/2,043,329,016,276 = 2,043,329,016,276/x
  3. Step 3: Cross multiply
    1,469,576,758,284x = 2,043,329,016,276 × 2,043,329,016,276
  4. Step 4: Simplify right side
    1,469,576,758,284x = 4,175,193,468,755,446,081,781,760
  5. Step 5: Solve for x
    x = 4,175,193,468,755,446,081,781,760/1,469,576,758,284
  6. Step 6: Final answer
    x = 2,841,085,669,884.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.