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Finding the Third Proportional to 430,037,886 and 664,067,331

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Solution

The third proportional to 430,037,886 and 664,067,331 is: 1,025,457,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,037,886 : 664,067,331 = 664,067,331 : x
  2. Step 2: Convert to fraction form
    430,037,886/664,067,331 = 664,067,331/x
  3. Step 3: Cross multiply
    430,037,886x = 664,067,331 × 664,067,331
  4. Step 4: Simplify right side
    430,037,886x = 440,985,420,101,463,552
  5. Step 5: Solve for x
    x = 440,985,420,101,463,552/430,037,886
  6. Step 6: Final answer
    x = 1,025,457,138.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.