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Finding the Third Proportional to 211,784,808 and 458,736,792

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Solution

The third proportional to 211,784,808 and 458,736,792 is: 993,647,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784,808 : 458,736,792 = 458,736,792 : x
  2. Step 2: Convert to fraction form
    211,784,808/458,736,792 = 458,736,792/x
  3. Step 3: Cross multiply
    211,784,808x = 458,736,792 × 458,736,792
  4. Step 4: Simplify right side
    211,784,808x = 210,439,444,334,451,264
  5. Step 5: Solve for x
    x = 210,439,444,334,451,264/211,784,808
  6. Step 6: Final answer
    x = 993,647,496.82

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Why These Related Problems?

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