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Finding the Third Proportional to 84,287,970 and 183,890,682

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Solution

The third proportional to 84,287,970 and 183,890,682 is: 401,193,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287,970 : 183,890,682 = 183,890,682 : x
  2. Step 2: Convert to fraction form
    84,287,970/183,890,682 = 183,890,682/x
  3. Step 3: Cross multiply
    84,287,970x = 183,890,682 × 183,890,682
  4. Step 4: Simplify right side
    84,287,970x = 33,815,782,926,425,124
  5. Step 5: Solve for x
    x = 33,815,782,926,425,124/84,287,970
  6. Step 6: Final answer
    x = 401,193,467.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.