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Finding the Third Proportional to 2,003,123,546 and 4,281,913,744

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Solution

The third proportional to 2,003,123,546 and 4,281,913,744 is: 9,153,097,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,123,546 : 4,281,913,744 = 4,281,913,744 : x
  2. Step 2: Convert to fraction form
    2,003,123,546/4,281,913,744 = 4,281,913,744/x
  3. Step 3: Cross multiply
    2,003,123,546x = 4,281,913,744 × 4,281,913,744
  4. Step 4: Simplify right side
    2,003,123,546x = 18,334,785,311,056,097,280
  5. Step 5: Solve for x
    x = 18,334,785,311,056,097,280/2,003,123,546
  6. Step 6: Final answer
    x = 9,153,097,594.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.