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Finding the Third Proportional to 669,162,780.56 and 1,449,495,145.13

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Solution

The third proportional to 669,162,780.56 and 1,449,495,145.13 is: 3,139,798,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,162,780.56 : 1,449,495,145.13 = 1,449,495,145.13 : x
  2. Step 2: Convert to fraction form
    669,162,780.56/1,449,495,145.13 = 1,449,495,145.13/x
  3. Step 3: Cross multiply
    669,162,780.56x = 1,449,495,145.13 × 1,449,495,145.13
  4. Step 4: Simplify right side
    669,162,780.56x = 2,101,036,175,740,944,896
  5. Step 5: Solve for x
    x = 2,101,036,175,740,944,896/669,162,780.56
  6. Step 6: Final answer
    x = 3,139,798,322.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.