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Finding the Third Proportional to 693,668,064 and 1,618,614,717

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Solution

The third proportional to 693,668,064 and 1,618,614,717 is: 3,776,898,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,668,064 : 1,618,614,717 = 1,618,614,717 : x
  2. Step 2: Convert to fraction form
    693,668,064/1,618,614,717 = 1,618,614,717/x
  3. Step 3: Cross multiply
    693,668,064x = 1,618,614,717 × 1,618,614,717
  4. Step 4: Simplify right side
    693,668,064x = 2,619,913,602,088,990,208
  5. Step 5: Solve for x
    x = 2,619,913,602,088,990,208/693,668,064
  6. Step 6: Final answer
    x = 3,776,898,113.17

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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.