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Finding the Third Proportional to 692,846,971.50 and 1,434,805,197

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Solution

The third proportional to 692,846,971.50 and 1,434,805,197 is: 2,971,314,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,846,971.50 : 1,434,805,197 = 1,434,805,197 : x
  2. Step 2: Convert to fraction form
    692,846,971.50/1,434,805,197 = 1,434,805,197/x
  3. Step 3: Cross multiply
    692,846,971.50x = 1,434,805,197 × 1,434,805,197
  4. Step 4: Simplify right side
    692,846,971.50x = 2,058,665,953,338,208,768
  5. Step 5: Solve for x
    x = 2,058,665,953,338,208,768/692,846,971.50
  6. Step 6: Final answer
    x = 2,971,314,067.93

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.