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Finding the Third Proportional to 430,037,923 and 664,067,479.50

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Solution

The third proportional to 430,037,923 and 664,067,479.50 is: 1,025,457,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,037,923 : 664,067,479.50 = 664,067,479.50 : x
  2. Step 2: Convert to fraction form
    430,037,923/664,067,479.50 = 664,067,479.50/x
  3. Step 3: Cross multiply
    430,037,923x = 664,067,479.50 × 664,067,479.50
  4. Step 4: Simplify right side
    430,037,923x = 440,985,617,329,482,944
  5. Step 5: Solve for x
    x = 440,985,617,329,482,944/430,037,923
  6. Step 6: Final answer
    x = 1,025,457,509.08

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Why These Related Problems?

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