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Finding the Third Proportional to 693,668,062 and 1,618,614,712

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Solution

The third proportional to 693,668,062 and 1,618,614,712 is: 3,776,898,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,668,062 : 1,618,614,712 = 1,618,614,712 : x
  2. Step 2: Convert to fraction form
    693,668,062/1,618,614,712 = 1,618,614,712/x
  3. Step 3: Cross multiply
    693,668,062x = 1,618,614,712 × 1,618,614,712
  4. Step 4: Simplify right side
    693,668,062x = 2,619,913,585,902,842,880
  5. Step 5: Solve for x
    x = 2,619,913,585,902,842,880/693,668,062
  6. Step 6: Final answer
    x = 3,776,898,100.73

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Why These Related Problems?

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