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Finding the Third Proportional to 693,668,059 and 1,618,614,705

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Solution

The third proportional to 693,668,059 and 1,618,614,705 is: 3,776,898,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,668,059 : 1,618,614,705 = 1,618,614,705 : x
  2. Step 2: Convert to fraction form
    693,668,059/1,618,614,705 = 1,618,614,705/x
  3. Step 3: Cross multiply
    693,668,059x = 1,618,614,705 × 1,618,614,705
  4. Step 4: Simplify right side
    693,668,059x = 2,619,913,563,242,236,928
  5. Step 5: Solve for x
    x = 2,619,913,563,242,236,928/693,668,059
  6. Step 6: Final answer
    x = 3,776,898,084.39

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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.