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Finding the Third Proportional to 211,784,804 and 458,736,784

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Solution

The third proportional to 211,784,804 and 458,736,784 is: 993,647,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784,804 : 458,736,784 = 458,736,784 : x
  2. Step 2: Convert to fraction form
    211,784,804/458,736,784 = 458,736,784/x
  3. Step 3: Cross multiply
    211,784,804x = 458,736,784 × 458,736,784
  4. Step 4: Simplify right side
    211,784,804x = 210,439,436,994,662,656
  5. Step 5: Solve for x
    x = 210,439,436,994,662,656/211,784,804
  6. Step 6: Final answer
    x = 993,647,480.93

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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.