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Finding the Third Proportional to 213,218,651 and 322,452,377

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Solution

The third proportional to 213,218,651 and 322,452,377 is: 487,647,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218,651 : 322,452,377 = 322,452,377 : x
  2. Step 2: Convert to fraction form
    213,218,651/322,452,377 = 322,452,377/x
  3. Step 3: Cross multiply
    213,218,651x = 322,452,377 × 322,452,377
  4. Step 4: Simplify right side
    213,218,651x = 103,975,535,432,950,128
  5. Step 5: Solve for x
    x = 103,975,535,432,950,128/213,218,651
  6. Step 6: Final answer
    x = 487,647,468.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.