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Finding the Third Proportional to 512,356,078.69 and 787,178,467.69

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Solution

The third proportional to 512,356,078.69 and 787,178,467.69 is: 1,209,412,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,356,078.69 : 787,178,467.69 = 787,178,467.69 : x
  2. Step 2: Convert to fraction form
    512,356,078.69/787,178,467.69 = 787,178,467.69/x
  3. Step 3: Cross multiply
    512,356,078.69x = 787,178,467.69 × 787,178,467.69
  4. Step 4: Simplify right side
    512,356,078.69x = 619,649,939,990,840,448
  5. Step 5: Solve for x
    x = 619,649,939,990,840,448/512,356,078.69
  6. Step 6: Final answer
    x = 1,209,412,683.42

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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.