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Finding the Third Proportional to 1,459,664,420 and 3,022,806,744

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Solution

The third proportional to 1,459,664,420 and 3,022,806,744 is: 6,259,905,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,664,420 : 3,022,806,744 = 3,022,806,744 : x
  2. Step 2: Convert to fraction form
    1,459,664,420/3,022,806,744 = 3,022,806,744/x
  3. Step 3: Cross multiply
    1,459,664,420x = 3,022,806,744 × 3,022,806,744
  4. Step 4: Simplify right side
    1,459,664,420x = 9,137,360,611,571,881,984
  5. Step 5: Solve for x
    x = 9,137,360,611,571,881,984/1,459,664,420
  6. Step 6: Final answer
    x = 6,259,905,007.19

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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.