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Finding the Third Proportional to 693,668,058 and 1,618,614,702

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Solution

The third proportional to 693,668,058 and 1,618,614,702 is: 3,776,898,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,668,058 : 1,618,614,702 = 1,618,614,702 : x
  2. Step 2: Convert to fraction form
    693,668,058/1,618,614,702 = 1,618,614,702/x
  3. Step 3: Cross multiply
    693,668,058x = 1,618,614,702 × 1,618,614,702
  4. Step 4: Simplify right side
    693,668,058x = 2,619,913,553,530,548,736
  5. Step 5: Solve for x
    x = 2,619,913,553,530,548,736/693,668,058
  6. Step 6: Final answer
    x = 3,776,898,075.84

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.