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Finding the Third Proportional to 1,026,502,869 and 2,107,423,770

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Solution

The third proportional to 1,026,502,869 and 2,107,423,770 is: 4,326,568,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,502,869 : 2,107,423,770 = 2,107,423,770 : x
  2. Step 2: Convert to fraction form
    1,026,502,869/2,107,423,770 = 2,107,423,770/x
  3. Step 3: Cross multiply
    1,026,502,869x = 2,107,423,770 × 2,107,423,770
  4. Step 4: Simplify right side
    1,026,502,869x = 4,441,234,946,361,012,736
  5. Step 5: Solve for x
    x = 4,441,234,946,361,012,736/1,026,502,869
  6. Step 6: Final answer
    x = 4,326,568,469.01

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.