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Finding the Third Proportional to 693,668,054.25 and 1,618,614,695.25

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Solution

The third proportional to 693,668,054.25 and 1,618,614,695.25 is: 3,776,898,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,668,054.25 : 1,618,614,695.25 = 1,618,614,695.25 : x
  2. Step 2: Convert to fraction form
    693,668,054.25/1,618,614,695.25 = 1,618,614,695.25/x
  3. Step 3: Cross multiply
    693,668,054.25x = 1,618,614,695.25 × 1,618,614,695.25
  4. Step 4: Simplify right side
    693,668,054.25x = 2,619,913,531,679,250,432
  5. Step 5: Solve for x
    x = 2,619,913,531,679,250,432/693,668,054.25
  6. Step 6: Final answer
    x = 3,776,898,064.76

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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.