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Finding the Third Proportional to 692,846,976 and 1,434,805,205

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Solution

The third proportional to 692,846,976 and 1,434,805,205 is: 2,971,314,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,846,976 : 1,434,805,205 = 1,434,805,205 : x
  2. Step 2: Convert to fraction form
    692,846,976/1,434,805,205 = 1,434,805,205/x
  3. Step 3: Cross multiply
    692,846,976x = 1,434,805,205 × 1,434,805,205
  4. Step 4: Simplify right side
    692,846,976x = 2,058,665,976,295,091,968
  5. Step 5: Solve for x
    x = 2,058,665,976,295,091,968/692,846,976
  6. Step 6: Final answer
    x = 2,971,314,081.76

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Why These Related Problems?

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