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Finding the Third Proportional to 657,949,125 and 1,445,019,519

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Solution

The third proportional to 657,949,125 and 1,445,019,519 is: 3,173,621,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,949,125 : 1,445,019,519 = 1,445,019,519 : x
  2. Step 2: Convert to fraction form
    657,949,125/1,445,019,519 = 1,445,019,519/x
  3. Step 3: Cross multiply
    657,949,125x = 1,445,019,519 × 1,445,019,519
  4. Step 4: Simplify right side
    657,949,125x = 2,088,081,410,290,991,360
  5. Step 5: Solve for x
    x = 2,088,081,410,290,991,360/657,949,125
  6. Step 6: Final answer
    x = 3,173,621,380.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.