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Finding the Third Proportional to 64,743,184 and 138,668,704

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Solution

The third proportional to 64,743,184 and 138,668,704 is: 297,004,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743,184 : 138,668,704 = 138,668,704 : x
  2. Step 2: Convert to fraction form
    64,743,184/138,668,704 = 138,668,704/x
  3. Step 3: Cross multiply
    64,743,184x = 138,668,704 × 138,668,704
  4. Step 4: Simplify right side
    64,743,184x = 19,229,009,469,039,616
  5. Step 5: Solve for x
    x = 19,229,009,469,039,616/64,743,184
  6. Step 6: Final answer
    x = 297,004,383.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.