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Finding the Third Proportional to 984,757,261.75 and 2,126,746,668.25

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Solution

The third proportional to 984,757,261.75 and 2,126,746,668.25 is: 4,593,062,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,757,261.75 : 2,126,746,668.25 = 2,126,746,668.25 : x
  2. Step 2: Convert to fraction form
    984,757,261.75/2,126,746,668.25 = 2,126,746,668.25/x
  3. Step 3: Cross multiply
    984,757,261.75x = 2,126,746,668.25 × 2,126,746,668.25
  4. Step 4: Simplify right side
    984,757,261.75x = 4,523,051,390,912,475,648
  5. Step 5: Solve for x
    x = 4,523,051,390,912,475,648/984,757,261.75
  6. Step 6: Final answer
    x = 4,593,062,236.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.