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Finding the Third Proportional to 743,785,740 and 1,621,494,804

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Solution

The third proportional to 743,785,740 and 1,621,494,804 is: 3,534,949,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,785,740 : 1,621,494,804 = 1,621,494,804 : x
  2. Step 2: Convert to fraction form
    743,785,740/1,621,494,804 = 1,621,494,804/x
  3. Step 3: Cross multiply
    743,785,740x = 1,621,494,804 × 1,621,494,804
  4. Step 4: Simplify right side
    743,785,740x = 2,629,245,399,398,998,528
  5. Step 5: Solve for x
    x = 2,629,245,399,398,998,528/743,785,740
  6. Step 6: Final answer
    x = 3,534,949,997.02

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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.