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Finding the Third Proportional to 211,784,800 and 458,736,776

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Solution

The third proportional to 211,784,800 and 458,736,776 is: 993,647,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784,800 : 458,736,776 = 458,736,776 : x
  2. Step 2: Convert to fraction form
    211,784,800/458,736,776 = 458,736,776/x
  3. Step 3: Cross multiply
    211,784,800x = 458,736,776 × 458,736,776
  4. Step 4: Simplify right side
    211,784,800x = 210,439,429,654,874,176
  5. Step 5: Solve for x
    x = 210,439,429,654,874,176/211,784,800
  6. Step 6: Final answer
    x = 993,647,465.04

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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.