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Finding the Third Proportional to 1,459,664,226 and 3,022,806,357

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Solution

The third proportional to 1,459,664,226 and 3,022,806,357 is: 6,259,904,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,664,226 : 3,022,806,357 = 3,022,806,357 : x
  2. Step 2: Convert to fraction form
    1,459,664,226/3,022,806,357 = 3,022,806,357/x
  3. Step 3: Cross multiply
    1,459,664,226x = 3,022,806,357 × 3,022,806,357
  4. Step 4: Simplify right side
    1,459,664,226x = 9,137,358,271,919,611,904
  5. Step 5: Solve for x
    x = 9,137,358,271,919,611,904/1,459,664,226
  6. Step 6: Final answer
    x = 6,259,904,236.30

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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.